Tomašić, Ivan; Wibmer, Michael Difference Galois theory and dynamics. (English) Zbl 07524882 Adv. Math. 402, Article ID 108328, 61 p. (2022). MSC: 12H10 18B25 18E50 37B10 18D40 13B05 PDF BibTeX XML Cite \textit{I. Tomašić} and \textit{M. Wibmer}, Adv. Math. 402, Article ID 108328, 61 p. (2022; Zbl 07524882) Full Text: DOI OpenURL
Zhang, Xuemei; Chen, Yaojun; Cheng, T. C. Edwin Bounds for two multicolor Ramsey numbers concerning quadrilaterals. (English) Zbl 07483335 Finite Fields Appl. 79, Article ID 101999, 16 p. (2022). Reviewer: William G. Brown (Montréal) MSC: 05C55 05D10 05C80 05B10 11T99 PDF BibTeX XML Cite \textit{X. Zhang} et al., Finite Fields Appl. 79, Article ID 101999, 16 p. (2022; Zbl 07483335) Full Text: DOI OpenURL
Arreche, Carlos E.; Zhang, Yi Computing differential Galois groups of second-order linear \(q\)-difference equations. (English) Zbl 1478.39005 Adv. Appl. Math. 132, Article ID 102273, 48 p. (2022). MSC: 39A13 39A12 12H10 12H05 20H20 PDF BibTeX XML Cite \textit{C. E. Arreche} and \textit{Y. Zhang}, Adv. Appl. Math. 132, Article ID 102273, 48 p. (2022; Zbl 1478.39005) Full Text: DOI arXiv OpenURL
Bachmayr, Annette; Wibmer, Michael Algebraic groups as difference Galois groups of linear differential equations. (English) Zbl 1475.12011 J. Pure Appl. Algebra 226, No. 2, Article ID 106854, 26 p. (2022). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H10 12H05 34M15 34M50 14L15 PDF BibTeX XML Cite \textit{A. Bachmayr} and \textit{M. Wibmer}, J. Pure Appl. Algebra 226, No. 2, Article ID 106854, 26 p. (2022; Zbl 1475.12011) Full Text: DOI arXiv OpenURL
Adamczewski, Boris; Dreyfus, Thomas; Hardouin, Charlotte Hypertranscendence and linear difference equations. (English) Zbl 1479.39004 J. Am. Math. Soc. 34, No. 2, 475-503 (2021). MSC: 39A13 39A70 39A06 12H05 12H10 34M15 39A12 PDF BibTeX XML Cite \textit{B. Adamczewski} et al., J. Am. Math. Soc. 34, No. 2, 475--503 (2021; Zbl 1479.39004) Full Text: DOI arXiv OpenURL
Hardouin, Charlotte; Singer, Michael F. On differentially algebraic generating series for walks in the quarter plane. (English) Zbl 1476.05013 Sel. Math., New Ser. 27, No. 5, Paper No. 89, 49 p. (2021). MSC: 05A15 60G50 11G05 30D05 39A06 PDF BibTeX XML Cite \textit{C. Hardouin} and \textit{M. F. Singer}, Sel. Math., New Ser. 27, No. 5, Paper No. 89, 49 p. (2021; Zbl 1476.05013) Full Text: DOI arXiv OpenURL
Dreyfus, Thomas; Trotignon, Amélie On the nature of four models of symmetric walks avoiding a quadrant. (English) Zbl 1472.05006 Ann. Comb. 25, No. 3, 617-644 (2021). MSC: 05A15 30D05 39A06 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{A. Trotignon}, Ann. Comb. 25, No. 3, 617--644 (2021; Zbl 1472.05006) Full Text: DOI arXiv OpenURL
Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien Functional relations for solutions of \(q\)-difference equations. (English) Zbl 1476.39007 Math. Z. 298, No. 3-4, 1751-1791 (2021). MSC: 39A13 12H10 12H05 33D15 PDF BibTeX XML Cite \textit{T. Dreyfus} et al., Math. Z. 298, No. 3--4, 1751--1791 (2021; Zbl 1476.39007) Full Text: DOI arXiv OpenURL
Joshi, Nalini; Roffelsen, Pieter On the Riemann-Hilbert problem for a \(q\)-difference Painlevé equation. (English) Zbl 1476.39004 Commun. Math. Phys. 384, No. 1, 549-585 (2021). Reviewer: Nouressadat Touafek (Jijel) MSC: 39A12 34M50 34M55 39A13 39A36 37F34 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{P. Roffelsen}, Commun. Math. Phys. 384, No. 1, 549--585 (2021; Zbl 1476.39004) Full Text: DOI arXiv OpenURL
Di Vizio, Lucia; Hardouin, Charlotte Galois theories of \(q\)-difference equations: comparison theorems. (English) Zbl 1467.39005 Confluentes Math. 12, No. 2, 11-35 (2021). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 39A13 12H10 11R32 11S20 PDF BibTeX XML Cite \textit{L. Di Vizio} and \textit{C. Hardouin}, Confluentes Math. 12, No. 2, 11--35 (2021; Zbl 1467.39005) Full Text: DOI arXiv OpenURL
Ramis, Jean-Pierre Hiroshi Umemura and French mathematics. (Hiroshi Umemura et les mathématiques françaises.) (French. English summary) Zbl 07335310 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007-1052 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A55 12-03 34-03 12H05 12H20 34M55 12H10 34M15 01A70 37J30 39A13 58H05 34M35 37F10 37J35 34-02 58B34 01A60 14D20 16T15 34A34 01A75 34A30 34M40 34M99 35Q99 00B25 14F10 33D15 34A25 37C85 39A12 57R30 58A17 00A30 01-01 05A30 11F03 11J81 14-03 16-XX 30-06 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007--1052 (2021; Zbl 07335310) Full Text: DOI OpenURL
Di Vizio, Lucia Difference Galois theory for the “applied” mathematician. (English) Zbl 1473.12008 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer. Lect. Notes Math. 2275, 29-59 (2021). MSC: 12H10 12F10 11G09 11F52 PDF BibTeX XML Cite \textit{L. Di Vizio}, Lect. Notes Math. 2275, 29--59 (2021; Zbl 1473.12008) Full Text: DOI arXiv OpenURL
Arreche, Carlos E.; Dreyfus, Thomas; Roques, Julien Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions. (Critères de transcendance différentielle pour les équations aux différences du deuxième ordre et les fonctions hypergéométriques elliptiques.) (English. French summary) Zbl 1460.39002 J. Éc. Polytech., Math. 8, 147-168 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 39A13 39A06 12H05 33C05 PDF BibTeX XML Cite \textit{C. E. Arreche} et al., J. Éc. Polytech., Math. 8, 147--168 (2021; Zbl 1460.39002) Full Text: DOI arXiv OpenURL
Feng, Ruyong Difference Galois groups under specialization. (English) Zbl 1477.12003 Trans. Am. Math. Soc. 374, No. 1, 61-96 (2021). MSC: 12H10 13B05 PDF BibTeX XML Cite \textit{R. Feng}, Trans. Am. Math. Soc. 374, No. 1, 61--96 (2021; Zbl 1477.12003) Full Text: DOI arXiv OpenURL
Fried, Michael D. Diophantine statements over residue fields: Galois stratification and uniformity. (English) Zbl 1469.11210 Davis, James A. (ed.), Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3–7, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 103-132 (2020). MSC: 11G25 11D72 14F30 14G32 PDF BibTeX XML Cite \textit{M. D. Fried}, in: Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3--7, 2019. Berlin: De Gruyter. 103--132 (2020; Zbl 1469.11210) Full Text: DOI OpenURL
Nagy, Levente; Szamuely, Tamás A general theory of André’s solution algebras. (Une théorie générale des algèbres de solutions d’André.) (English. French summary) Zbl 1476.12006 Ann. Inst. Fourier 70, No. 5, 2103-2129 (2020). Reviewer: Andreas Maurischat (Aachen) MSC: 12H05 12H10 11J81 13B05 PDF BibTeX XML Cite \textit{L. Nagy} and \textit{T. Szamuely}, Ann. Inst. Fourier 70, No. 5, 2103--2129 (2020; Zbl 1476.12006) Full Text: DOI arXiv OpenURL
Chang, Chieh-Yu Frobenius difference equations and difference Galois groups. (English) Zbl 1440.11098 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 261-295 (2020). MSC: 11G09 11J93 11R58 11J81 11J91 PDF BibTeX XML Cite \textit{C.-Y. Chang}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 261--295 (2020; Zbl 1440.11098) Full Text: DOI OpenURL
Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien; Singer, Michael F. Walks in the quarter plane: genus zero case. (English) Zbl 1439.05015 J. Comb. Theory, Ser. A 174, Article ID 105251, 24 p. (2020). MSC: 05A15 05A16 39A06 30D05 PDF BibTeX XML Cite \textit{T. Dreyfus} et al., J. Comb. Theory, Ser. A 174, Article ID 105251, 24 p. (2020; Zbl 1439.05015) Full Text: DOI arXiv OpenURL
Giancarlo, Raffaele; Manzini, Giovanni; Restivo, Antonio; Rosone, Giovanna; Sciortino, Marinella The alternating BWT: an algorithmic perspective. (English) Zbl 1435.68087 Theor. Comput. Sci. 812, 230-243 (2020). MSC: 68P30 68R15 68W32 PDF BibTeX XML Cite \textit{R. Giancarlo} et al., Theor. Comput. Sci. 812, 230--243 (2020; Zbl 1435.68087) Full Text: DOI arXiv OpenURL
Dreyfus, Thomas; Raschel, Kilian Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks. (English) Zbl 1468.12004 Actes de la conférence «Analogies between number field and function field : algebraic and analytic approaches ». Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2019, Part 1, 41-80 (2019). MSC: 12H10 39A06 05A15 30D05 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{K. Raschel}, Publ. Math. Besançon, Algèbre Théor. Nombres 2019, 41--80 (2019; Zbl 1468.12004) Full Text: arXiv OpenURL
Di Vizio, Lucia Action of an endomorphism on (the solutions of) a linear differential equation. (English) Zbl 1452.12004 Actes de la conférence «Analogies between number field and function field : algebraic and analytic approaches ». Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2019, Part 1, 21-39 (2019). MSC: 12H10 12H20 34M15 PDF BibTeX XML Cite \textit{L. Di Vizio}, Publ. Math. Besançon, Algèbre Théor. Nombres 2019, 21--39 (2019; Zbl 1452.12004) OpenURL
Beyarslan, Özlem; Kowalski, Piotr Model theory of fields with virtually free group actions. (English) Zbl 1446.03071 Proc. Lond. Math. Soc. (3) 118, No. 2, 221-256 (2019). Reviewer: Luc Bélair (Montréal) MSC: 03C60 03C45 12H10 20E08 20A15 PDF BibTeX XML Cite \textit{Ö. Beyarslan} and \textit{P. Kowalski}, Proc. Lond. Math. Soc. (3) 118, No. 2, 221--256 (2019; Zbl 1446.03071) Full Text: DOI arXiv OpenURL
Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien Hypertranscendence of solutions of Mahler equations. (English) Zbl 1455.11107 J. Eur. Math. Soc. (JEMS) 20, No. 9, 2209-2238 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 11R32 12H10 11D59 11S20 39A13 PDF BibTeX XML Cite \textit{T. Dreyfus} et al., J. Eur. Math. Soc. (JEMS) 20, No. 9, 2209--2238 (2018; Zbl 1455.11107) Full Text: DOI arXiv OpenURL
Dreyfus, Thomas Real difference Galois theory. (English) Zbl 1466.12005 Proc. Am. Math. Soc. 146, No. 1, 43-54 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H10 39A05 PDF BibTeX XML Cite \textit{T. Dreyfus}, Proc. Am. Math. Soc. 146, No. 1, 43--54 (2018; Zbl 1466.12005) Full Text: DOI arXiv OpenURL
Roques, Julien On the algebraic relations between Mahler functions. (English) Zbl 1376.39002 Trans. Am. Math. Soc. 370, No. 1, 321-355 (2018). MSC: 39A06 12H10 PDF BibTeX XML Cite \textit{J. Roques}, Trans. Am. Math. Soc. 370, No. 1, 321--355 (2018; Zbl 1376.39002) Full Text: DOI Link OpenURL
Schneider, Carsten Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects. (English) Zbl 1403.12002 J. Symb. Comput. 80, Part 3, 616-664 (2017). MSC: 12H10 68W30 PDF BibTeX XML Cite \textit{C. Schneider}, J. Symb. Comput. 80, Part 3, 616--664 (2017; Zbl 1403.12002) Full Text: DOI arXiv OpenURL
Arreche, Carlos E. Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation. (English) Zbl 1384.65091 Commun. Contemp. Math. 19, No. 6, Article ID 1650056, 42 p. (2017). Reviewer: Antonio Linero Bas (Murcia) MSC: 65Q10 39A10 39A06 12H10 12H05 20H20 65L80 PDF BibTeX XML Cite \textit{C. E. Arreche}, Commun. Contemp. Math. 19, No. 6, Article ID 1650056, 42 p. (2017; Zbl 1384.65091) Full Text: DOI arXiv OpenURL
Davis, James A.; Huczynska, Sophie; Mullen, Gary L. Near-complete external difference families. (English) Zbl 1391.94949 Des. Codes Cryptography 84, No. 3, 415-424 (2017). MSC: 94C30 05B10 51E20 94A62 PDF BibTeX XML Cite \textit{J. A. Davis} et al., Des. Codes Cryptography 84, No. 3, 415--424 (2017; Zbl 1391.94949) Full Text: DOI Link OpenURL
Roques, Julien An introduction to difference Galois theory. (English) Zbl 1400.12005 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Lecture notes of the Abecederian School of SIDE 12, Montreal 2016. Based on the presentations at the summer school, Université de Montréal, Montréal, Canada, June 27 – July 1, 2016 and an international meeting, Sainte-Adèle, Québec, Canada, July 3–9, 2016. Cham: Springer (ISBN 978-3-319-56665-8/hbk; 978-3-319-56666-5/ebook). CRM Series in Mathematical Physics, 359-390 (2017). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H10 PDF BibTeX XML Cite \textit{J. Roques}, in: Symmetries and integrability of difference equations. Lecture notes of the Abecederian School of SIDE 12, Montreal 2016. Based on the presentations at the summer school, Université de Montréal, Montréal, Canada, June 27 -- July 1, 2016 and an international meeting, Sainte-Adèle, Québec, Canada, July 3--9, 2016. Cham: Springer. 359--390 (2017; Zbl 1400.12005) Full Text: DOI OpenURL
Arreche, Carlos E.; Singer, Michael F. Galois groups for integrable and projectively integrable linear difference equations. (English) Zbl 1364.39002 J. Algebra 480, 423-449 (2017). MSC: 39A06 12H05 12H10 20H20 PDF BibTeX XML Cite \textit{C. E. Arreche} and \textit{M. F. Singer}, J. Algebra 480, 423--449 (2017; Zbl 1364.39002) Full Text: DOI arXiv OpenURL
Di Vizio, Lucia; Hardouin, Charlotte; Wibmer, Michael Difference algebraic relations among solutions of linear differential equations. (English) Zbl 1390.12006 J. Inst. Math. Jussieu 16, No. 1, 59-119 (2017). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H10 12H20 12H05 34M15 33C99 PDF BibTeX XML Cite \textit{L. Di Vizio} et al., J. Inst. Math. Jussieu 16, No. 1, 59--119 (2017; Zbl 1390.12006) Full Text: DOI arXiv OpenURL
Li, Wenlei; Shi, Shaoyun Corrigendum to: “Galoisian obstruction to the integrability of general dynamical systems”. (English) Zbl 1477.32025 J. Differ. Equations 262, No. 3, 1253-1256 (2017). MSC: 32H04 34M45 34M15 34M03 34C14 PDF BibTeX XML Cite \textit{W. Li} and \textit{S. Shi}, J. Differ. Equations 262, No. 3, 1253--1256 (2017; Zbl 1477.32025) Full Text: DOI OpenURL
Dreyfus, Thomas; Eloy, Anton \(q\)-Borel-Laplace summation for \(q\)-difference equations with two slopes. (English) Zbl 1364.39008 J. Difference Equ. Appl. 22, No. 10, 1501-1511 (2016). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 39A13 39A45 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{A. Eloy}, J. Difference Equ. Appl. 22, No. 10, 1501--1511 (2016; Zbl 1364.39008) Full Text: DOI arXiv OpenURL
Janelidze, G. Picard-Vessiot and categorically normal extensions in differential-difference Galois theory. (English) Zbl 1404.12008 Bull. Belg. Math. Soc. - Simon Stevin 23, No. 5, 753-768 (2016). MSC: 12H10 12H05 18A40 18A99 PDF BibTeX XML Cite \textit{G. Janelidze}, Bull. Belg. Math. Soc. - Simon Stevin 23, No. 5, 753--768 (2016; Zbl 1404.12008) Full Text: Euclid OpenURL
Sauloy, Jacques Analytic study of \(q\)-difference equations. (English) Zbl 1347.39012 Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 103-171 (2016). MSC: 39A13 11R32 PDF BibTeX XML Cite \textit{J. Sauloy}, Math. Surv. Monogr. 211, 103--171 (2016; Zbl 1347.39012) OpenURL
Hardouin, Charlotte Galoisian approach to differential transcendence. (English) Zbl 1347.39001 Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 43-102 (2016). MSC: 39A06 12H05 11R32 PDF BibTeX XML Cite \textit{C. Hardouin}, Math. Surv. Monogr. 211, 43--102 (2016; Zbl 1347.39001) OpenURL
Singer, Michael F. Algebraic and algorithmic aspects of linear difference equations. (English) Zbl 1347.39002 Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 1-41 (2016). MSC: 39A06 12H10 11R32 PDF BibTeX XML Cite \textit{M. F. Singer}, Math. Surv. Monogr. 211, 1--41 (2016; Zbl 1347.39002) OpenURL
Ovchinnikov, Alexey; Wibmer, Michael \(\sigma\)-Galois theory of linear difference equations. (English) Zbl 1388.12011 Int. Math. Res. Not. 2015, No. 12, 3962-4018 (2015). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H10 13B05 39A06 39A13 39A45 PDF BibTeX XML Cite \textit{A. Ovchinnikov} and \textit{M. Wibmer}, Int. Math. Res. Not. 2015, No. 12, 3962--4018 (2015; Zbl 1388.12011) Full Text: DOI arXiv Link OpenURL
Blázquez-Sanz, David; Muñoz, Weimar Generalized linear cellular automata in groups and difference Galois theory. (English) Zbl 1379.37028 J. Difference Equ. Appl. 21, No. 2, 127-154 (2015). MSC: 37B15 12H10 39A05 PDF BibTeX XML Cite \textit{D. Blázquez-Sanz} and \textit{W. Muñoz}, J. Difference Equ. Appl. 21, No. 2, 127--154 (2015; Zbl 1379.37028) Full Text: DOI arXiv OpenURL
Ramis, Jean-Pierre; Sauloy, Jacques The \(q\)-analogue of the wild fundamental group and the inverse problem of the Galois theory of \(q\)-difference equations. (Le \(q\)-analogue du groupe fondamental sauvage et le problème inverse de la théorie de Galois aux \(q\)-différences.) (English. French summary) Zbl 1386.39018 Ann. Sci. Éc. Norm. Supér. (4) 48, No. 1, 171-226 (2015). MSC: 39A13 34M50 PDF BibTeX XML Cite \textit{J.-P. Ramis} and \textit{J. Sauloy}, Ann. Sci. Éc. Norm. Supér. (4) 48, No. 1, 171--226 (2015; Zbl 1386.39018) Full Text: DOI arXiv Link OpenURL
Dreyfus, Thomas; Roques, Julien Galois groups of difference equations of order two on elliptic curves. (English) Zbl 1311.39002 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 003, 23 p. (2015). MSC: 39A06 12H10 39A12 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{J. Roques}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 003, 23 p. (2015; Zbl 1311.39002) Full Text: DOI arXiv EMIS OpenURL
Semenov-Tian-Shansky, Michael Poisson geometry of difference Lax operators and difference Galois theory. (English) Zbl 1322.37035 Bastos, M. Amélia (ed.) et al., Operator theory, operator algebras and applications. Selected papers based on the presentations at the workshop WOAT 2012, Lisbon, Portugal, September 11–14, 2012. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0815-6/hbk; 978-3-0348-0816-3/ebook). Operator Theory: Advances and Applications 242, 341-362 (2014). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37K65 12H05 35Q53 37K10 PDF BibTeX XML Cite \textit{M. Semenov-Tian-Shansky}, Oper. Theory: Adv. Appl. 242, 341--362 (2014; Zbl 1322.37035) Full Text: DOI OpenURL
Antieau, Benjamin; Ovchinnikov, Alexey; Trushin, Dmitry Galois theory of difference equations with periodic parameters. (English) Zbl 1338.12007 Commun. Algebra 42, No. 9, 3902-3943 (2014). MSC: 12H10 39A13 PDF BibTeX XML Cite \textit{B. Antieau} et al., Commun. Algebra 42, No. 9, 3902--3943 (2014; Zbl 1338.12007) Full Text: DOI arXiv OpenURL
Maier, Annette A difference version of Nori’s theorem. (English) Zbl 1306.12003 Math. Ann. 359, No. 3-4, 759-784 (2014). Reviewer: Alexander B. Levin (Washington) MSC: 12H10 11G09 20G40 PDF BibTeX XML Cite \textit{A. Maier}, Math. Ann. 359, No. 3--4, 759--784 (2014; Zbl 1306.12003) Full Text: DOI arXiv OpenURL
Di Vizio, Lucia; Hardouin, Charlotte; Wibmer, Michael Difference Galois theory of linear differential equations. (English) Zbl 1328.12013 Adv. Math. 260, 1-58 (2014). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H10 34M15 PDF BibTeX XML Cite \textit{L. Di Vizio} et al., Adv. Math. 260, 1--58 (2014; Zbl 1328.12013) Full Text: DOI arXiv OpenURL
Ovchinnikov, Alexey Difference integrability conditions for parameterized linear difference and differential equations. (English) Zbl 1315.12004 Adv. Appl. Math. 53, 61-71 (2014). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 12H10 39A13 PDF BibTeX XML Cite \textit{A. Ovchinnikov}, Adv. Appl. Math. 53, 61--71 (2014; Zbl 1315.12004) Full Text: DOI arXiv OpenURL
Bessonov, Mariya; Ovchinnikov, Alexey; Shapiro, Maxwell Integrability conditions for parameterized linear difference equations. (English) Zbl 1360.12003 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 45-52 (2013). MSC: 12H05 12H10 39A13 PDF BibTeX XML Cite \textit{M. Bessonov} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 45--52 (2013; Zbl 1360.12003) Full Text: DOI OpenURL
Bertrand, D. (ed.); Boalch, Ph. (ed.); Couveignes, Jean-Marc (ed.); Dèbes, Pierre (ed.) Geometric and differential Galois theories. Proceedings of the meeting at CIRM, Luminy, France, March 29–April 2, 2010. (English) Zbl 1273.12001 Séminaires et Congrès 27. Paris: Société Mathématique de France (ISBN 978-2-85629-364-5/pbk). xviii, 247 p. (2013). MSC: 12-06 12H05 12H10 12H20 12H25 12F10 12F12 14C25 00B25 PDF BibTeX XML Cite \textit{D. Bertrand} (ed.) et al., Geometric and differential Galois theories. Proceedings of the meeting at CIRM, Luminy, France, March 29--April 2, 2010. Paris: Société Mathématique de France (2013; Zbl 1273.12001) Full Text: Link OpenURL
Wibmer, Michael Existence of \(\partial\)-parameterized Picard-Vessiot extensions over fields with algebraically closed constants. (English) Zbl 1280.12003 J. Algebra 361, 163-171 (2012). Reviewer: Alexander B. Levin (Washington) MSC: 12H05 12H10 PDF BibTeX XML Cite \textit{M. Wibmer}, J. Algebra 361, 163--171 (2012; Zbl 1280.12003) Full Text: DOI arXiv OpenURL
Roques, Julien On classical irregular \(q\)-difference equations. (English) Zbl 1259.39008 Compos. Math. 148, No. 5, 1624-1644 (2012). MSC: 39A13 33D15 PDF BibTeX XML Cite \textit{J. Roques}, Compos. Math. 148, No. 5, 1624--1644 (2012; Zbl 1259.39008) Full Text: DOI OpenURL
Reutenauer, Christophe On a matrix representation for polynomially recursive sequences. (English) Zbl 1298.05039 Electron. J. Comb. 19, No. 3, Research Paper P36, 26 p. (2012). MSC: 05A19 05A15 12H10 33D15 39A70 PDF BibTeX XML Cite \textit{C. Reutenauer}, Electron. J. Comb. 19, No. 3, Research Paper P36, 26 p. (2012; Zbl 1298.05039) Full Text: Link OpenURL
Di Vizio, Lucia; Hardouin, Charlotte Descent for differential Galois theory of difference equations: confluence and \(q\)-dependence. (English) Zbl 1258.12004 Pac. J. Math. 256, No. 1, 79-104 (2012). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H10 39A13 PDF BibTeX XML Cite \textit{L. Di Vizio} and \textit{C. Hardouin}, Pac. J. Math. 256, No. 1, 79--104 (2012; Zbl 1258.12004) Full Text: DOI arXiv Link OpenURL
Li, Wenlei; Shi, Shaoyun Galoisian obstruction to the integrability of general dynamical systems. (English) Zbl 1246.32017 J. Differ. Equations 252, No. 10, 5518-5534 (2012); corrigendum ibid. 262, No. 3, 1253-1256 (2017). Reviewer: Mykola Grygorenko (Kyïv) MSC: 32H04 34M45 34M15 34M03 34C14 PDF BibTeX XML Cite \textit{W. Li} and \textit{S. Shi}, J. Differ. Equations 252, No. 10, 5518--5534 (2012; Zbl 1246.32017) Full Text: DOI OpenURL
Roques, Julien On the Galois groups of families of regular singular difference systems. (English. French summary) Zbl 1317.39024 Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 307-323 (2011). MSC: 39A45 39A10 39A12 12H10 PDF BibTeX XML Cite \textit{J. Roques}, Sémin. Congr. 23, 307--323 (2011; Zbl 1317.39024) Full Text: Link OpenURL
Umemura, Hiroshi Picard-Vessiot theory in general Galois theory. (English) Zbl 1252.12007 Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 263-293 (2011). Reviewer: Sonia Rueda (Madrid) MSC: 12H05 12H10 PDF BibTeX XML Cite \textit{H. Umemura}, Banach Cent. Publ. 94, 263--293 (2011; Zbl 1252.12007) Full Text: DOI Link OpenURL
Sauloy, Jacques The Stokes phenomenon for linear \(q\)-difference equations. (English) Zbl 1229.39015 Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 123-139 (2011). MSC: 39A13 34M40 PDF BibTeX XML Cite \textit{J. Sauloy}, Contemp. Math. 549, 123--139 (2011; Zbl 1229.39015) OpenURL
Nguyen, Pierre Hypertranscendency of first order Mahler functions. (Hypertranscendance de fonctions de Mahler du premier ordre.) (French. English summary) Zbl 1268.12004 C. R., Math., Acad. Sci. Paris 349, No. 17-18, 943-946 (2011). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H10 34M15 39A05 PDF BibTeX XML Cite \textit{P. Nguyen}, C. R., Math., Acad. Sci. Paris 349, No. 17--18, 943--946 (2011; Zbl 1268.12004) Full Text: DOI OpenURL
Roques, Julien Generalized basic hypergeometric equations. (English) Zbl 1241.33017 Invent. Math. 184, No. 3, 499-528 (2011). Reviewer: Sunil Dutt Purohit (Udaipur) MSC: 33D90 39A13 11R32 05A30 PDF BibTeX XML Cite \textit{J. Roques}, Invent. Math. 184, No. 3, 499--528 (2011; Zbl 1241.33017) Full Text: DOI OpenURL
Hardouin, Charlotte; Singer, Michael F. Erratum to: Differential Galois theory of linear difference equations. (English) Zbl 1228.12005 Math. Ann. 350, No. 1, 243-244 (2011). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H05 39A10 33B15 33D15 39A12 PDF BibTeX XML Cite \textit{C. Hardouin} and \textit{M. F. Singer}, Math. Ann. 350, No. 1, 243--244 (2011; Zbl 1228.12005) Full Text: DOI OpenURL
Peón Nieto, Ana On \(\sigma \delta \)-Picard-Vessiot extensions. (English) Zbl 1272.12018 Commun. Algebra 39, No. 4, 1242-1249 (2011). MSC: 12H05 12H10 12L12 PDF BibTeX XML Cite \textit{A. Peón Nieto}, Commun. Algebra 39, No. 4, 1242--1249 (2011; Zbl 1272.12018) Full Text: DOI arXiv OpenURL
Sin, Peter; Wu, Junhua; Xiang, Qing Dimensions of some binary codes arising from a conic in \(\mathrm{PG}(2,q)\). (English) Zbl 1230.94009 J. Comb. Theory, Ser. A 118, No. 3, 853-878 (2011). MSC: 94B05 05B10 20C20 51E22 PDF BibTeX XML Cite \textit{P. Sin} et al., J. Comb. Theory, Ser. A 118, No. 3, 853--878 (2011; Zbl 1230.94009) Full Text: DOI arXiv OpenURL
Morikawa, Shuji; Saito, Katsunori; Takeuchi, Taihei; Umemura, Hiroshi Discrete Burgers’ equation, binomial coefficients and Mandala. (English) Zbl 1217.39010 Math. Comput. Sci. 4, No. 2-3, 151-167 (2010). MSC: 39A12 35Q53 03D05 39A10 12F10 37J35 65Q10 PDF BibTeX XML Cite \textit{S. Morikawa} et al., Math. Comput. Sci. 4, No. 2--3, 151--167 (2010; Zbl 1217.39010) Full Text: DOI OpenURL
Di Vizio, Lucia; Hardouin, Charlotte Curvatures, generic Galois groups and \(D\)-groupoid of a \(q\)-difference system. (Courbures, groupes de Galois génériques et \(D\)-groupoïde de Galois d’un système aux \(q\)-différences.) (French) Zbl 1245.12006 C. R., Math., Acad. Sci. Paris 348, No. 17-18, 951-954 (2010). MSC: 12F10 12H10 PDF BibTeX XML Cite \textit{L. Di Vizio} and \textit{C. Hardouin}, C. R., Math., Acad. Sci. Paris 348, No. 17--18, 951--954 (2010; Zbl 1245.12006) Full Text: DOI arXiv OpenURL
Hardouin, Charlotte Iterative \(q\)-difference Galois theory. (English) Zbl 1203.12004 J. Reine Angew. Math. 644, 101-144 (2010). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H10 12H05 39A13 PDF BibTeX XML Cite \textit{C. Hardouin}, J. Reine Angew. Math. 644, 101--144 (2010; Zbl 1203.12004) Full Text: DOI arXiv OpenURL
Feng, Ruyong; Singer, Michael F.; Wu, Min Liouvillian solutions of linear difference-differential equations. (English) Zbl 1233.12004 J. Symb. Comput. 45, No. 3, 287-305 (2010). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H05 PDF BibTeX XML Cite \textit{R. Feng} et al., J. Symb. Comput. 45, No. 3, 287--305 (2010; Zbl 1233.12004) Full Text: DOI arXiv OpenURL
Matzat, B. Heinrich Frobenius modules and Galois representations. (English) Zbl 1185.12004 Ann. Inst. Fourier 59, No. 7, 2805-2818 (2009). Reviewer: Elmar Große-Klönne (Berlin) MSC: 12H25 13N05 13N15 12H05 12F12 12H10 PDF BibTeX XML Cite \textit{B. H. Matzat}, Ann. Inst. Fourier 59, No. 7, 2805--2818 (2009; Zbl 1185.12004) Full Text: DOI EuDML Link OpenURL
Morikawa, Shuji; Umemura, Hiroshi On a general difference Galois theory. II. (English) Zbl 1194.12006 Ann. Inst. Fourier 59, No. 7, 2733-2771 (2009). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 12H10 37F10 58H05 14H70 PDF BibTeX XML Cite \textit{S. Morikawa} and \textit{H. Umemura}, Ann. Inst. Fourier 59, No. 7, 2733--2771 (2009; Zbl 1194.12006) Full Text: DOI Numdam EuDML OpenURL
Morikawa, Shuji On a general difference Galois theory. I. (English) Zbl 1194.12005 Ann. Inst. Fourier 59, No. 7, 2709-2732 (2009). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 12H10 58H05 17B65 PDF BibTeX XML Cite \textit{S. Morikawa}, Ann. Inst. Fourier 59, No. 7, 2709--2732 (2009; Zbl 1194.12005) Full Text: DOI Numdam EuDML OpenURL
Rains, E. M.; Spiridonov, V. P. Determinants of elliptic hypergeometric integrals. (English. Russian original) Zbl 1193.33201 Funct. Anal. Appl. 43, No. 4, 297-311 (2009); translation from Funkts. Anal. Prilozh. 43, No. 4, 67-86 (2009). Reviewer: Nele De Schepper (Gent) MSC: 33C75 PDF BibTeX XML Cite \textit{E. M. Rains} and \textit{V. P. Spiridonov}, Funct. Anal. Appl. 43, No. 4, 297--311 (2009; Zbl 1193.33201); translation from Funkts. Anal. Prilozh. 43, No. 4, 67--86 (2009) Full Text: DOI arXiv Link OpenURL
Kamensky, Moshe Definable groups of partial automorphisms. (English) Zbl 1184.03028 Sel. Math., New Ser. 15, No. 2, 295-341 (2009). MSC: 03C60 03C40 12F10 12H10 12L12 PDF BibTeX XML Cite \textit{M. Kamensky}, Sel. Math., New Ser. 15, No. 2, 295--341 (2009; Zbl 1184.03028) Full Text: DOI arXiv Link OpenURL
Haci, Yakup H. Optimal control problem for processes with multi-parametric binary linear difference equation system. (English) Zbl 1179.49022 Appl. Comput. Math. 8, No. 2, 263-267 (2009). MSC: 49K10 93C10 49N05 PDF BibTeX XML Cite \textit{Y. H. Haci}, Appl. Comput. Math. 8, No. 2, 263--267 (2009; Zbl 1179.49022) Full Text: Link OpenURL
Feng, Tao A new construction of perfect nonlinear functions using Galois rings. (English) Zbl 1197.05015 J. Comb. Des. 17, No. 3, 229-239 (2009). Reviewer: Alexander Pott (Magdeburg) MSC: 05B10 11T71 PDF BibTeX XML Cite \textit{T. Feng}, J. Comb. Des. 17, No. 3, 229--239 (2009; Zbl 1197.05015) Full Text: DOI OpenURL
Roques, Julien Galois groups of the basic hypergeometric equations. (English) Zbl 1153.39026 Pac. J. Math. 235, No. 2, 303-322 (2008). MSC: 39A13 33D15 PDF BibTeX XML Cite \textit{J. Roques}, Pac. J. Math. 235, No. 2, 303--322 (2008; Zbl 1153.39026) Full Text: DOI arXiv OpenURL
Casale, Guy; Roques, Julien Dynamics of rational symplectic mappings and difference Galois theory. (English) Zbl 1172.37022 Int. Math. Res. Not. 2008, Article ID rnn103, 23 p. (2008). Reviewer: Christian Günther (Libby) MSC: 37J30 14M99 37J35 53D99 PDF BibTeX XML Cite \textit{G. Casale} and \textit{J. Roques}, Int. Math. Res. Not. 2008, Article ID rnn103, 23 p. (2008; Zbl 1172.37022) Full Text: DOI arXiv OpenURL
Hardouin, Charlotte; Singer, Michael F. Differential Galois theory of linear difference equations. (English) Zbl 1163.12002 Math. Ann. 342, No. 2, 333-377 (2008). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H05 39A10 33B15 33D15 39A12 PDF BibTeX XML Cite \textit{C. Hardouin} and \textit{M. F. Singer}, Math. Ann. 342, No. 2, 333--377 (2008; Zbl 1163.12002) Full Text: DOI arXiv OpenURL
Levin, Alexander B. Difference algebra. (English) Zbl 1209.12003 Algebra and Applications 8. New York, NY: Springer (ISBN 978-1-4020-6946-8/hbk). xi, 519 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 12H10 12-02 PDF BibTeX XML Cite \textit{A. B. Levin}, Difference algebra. New York, NY: Springer (2008; Zbl 1209.12003) OpenURL
Harbater, David (ed.); Matzat, B. Heinrich (ed.); van der Put, Marius (ed.); Schneps, Leila (ed.) Arithmetic and differential Galois groups. Abstracts from the workshop held May 13–19, 2007. (English) Zbl 1177.12002 Oberwolfach Rep. 4, No. 2, 1443-1520 (2007). MSC: 12-06 14-06 00B05 12Fxx 12Gxx 12Hxx 14G32 PDF BibTeX XML Cite \textit{D. Harbater} (ed.) et al., Oberwolfach Rep. 4, No. 2, 1443--1520 (2007; Zbl 1177.12002) Full Text: DOI Link OpenURL
Levin, Alexander B. Difference algebra. (English) Zbl 1209.12004 Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 241-334 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 12H10 12-02 PDF BibTeX XML Cite \textit{A. B. Levin}, Handb. Algebra 4, 241--334 (2006; Zbl 1209.12004) Full Text: DOI OpenURL
Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz Chebycheff and Belyi polynomials, dessins dénfants, Beauville surfaces and group theory. (English) Zbl 1167.14300 Mediterr. J. Math. 3, No. 2, 121-146 (2006). MSC: 14D05 14G32 14J10 14H30 33C45 PDF BibTeX XML Cite \textit{I. Bauer} et al., Mediterr. J. Math. 3, No. 2, 121--146 (2006; Zbl 1167.14300) Full Text: DOI arXiv OpenURL
Khovanskij, A. G. On the solvability and unsolvability of equations in explicit form. (English. Russian original) Zbl 1069.34133 Russ. Math. Surv. 59, No. 4, 661-736 (2004); translation from Usp. Mat. Nauk 59, No. 4, 69-146 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M35 34A05 12F10 12H99 34A30 34-02 PDF BibTeX XML Cite \textit{A. G. Khovanskij}, Russ. Math. Surv. 59, No. 4, 661--736 (2004; Zbl 1069.34133); translation from Usp. Mat. Nauk 59, No. 4, 69--146 (2004) Full Text: DOI OpenURL
Chatzidakis, Zoé; Hrushovski, Ehud Model theory of endomorphisms of separably closed fields. (English) Zbl 1163.12303 J. Algebra 281, No. 2, 567-603 (2004). Reviewer: Dimitru Buşneag (Craiova) (MR2098785) MSC: 12L10 03C60 12H10 12F10 PDF BibTeX XML Cite \textit{Z. Chatzidakis} and \textit{E. Hrushovski}, J. Algebra 281, No. 2, 567--603 (2004; Zbl 1163.12303) Full Text: DOI Link OpenURL
Sauloy, Jacques Galois theory of Fuchsian \(q\)-difference equations. (English) Zbl 1053.39033 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925-968 (2003). Reviewer: Lothar Berg (Rostock) MSC: 12H10 39A13 32G34 39A05 PDF BibTeX XML Cite \textit{J. Sauloy}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925--968 (2003; Zbl 1053.39033) Full Text: DOI arXiv Numdam EuDML OpenURL
Bluher, Antonia W. On \(x^6+x+a\) in characteristic three. (English) Zbl 1046.12004 Des. Codes Cryptography 30, No. 1, 85-95 (2003). Reviewer: John N. Mordeson (Omaha) MSC: 12F10 05B10 12E05 12E10 PDF BibTeX XML Cite \textit{A. W. Bluher}, Des. Codes Cryptography 30, No. 1, 85--95 (2003; Zbl 1046.12004) Full Text: DOI OpenURL
Hartmann, Julia Invariants and differential Galois groups in degree four. (English) Zbl 1030.12003 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28-June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 58, 79-87 (2002). Reviewer: E.V. Pankrat’ev (Moskva) MSC: 12H99 12F10 PDF BibTeX XML Cite \textit{J. Hartmann}, Banach Cent. Publ. 58, 79--87 (2002; Zbl 1030.12003) Full Text: DOI OpenURL
Sauloy, Jacques Galois theory of \(q\)-difference equations: the “analytical” approach. (English) Zbl 1036.12007 Braaksma, B. L. J. (ed.) et al., Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28–30, 2001. Singapore: World Scientific, 277-292 (2002). MSC: 39A13 34M55 12H10 PDF BibTeX XML Cite \textit{J. Sauloy}, in: Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28--30, 2001. Singapore: World Scientific. 277--292 (2002; Zbl 1036.12007) OpenURL
Di Vizio, Lucia Arithmetic theory of \(q\)-difference equations. The \(q\)-analogue of Grothendieck-Katz’s conjecture on \(p\)-curvatures. (English) Zbl 1023.12004 Invent. Math. 150, No. 3, 517-578 (2002). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H99 39A13 33D15 11S85 PDF BibTeX XML Cite \textit{L. Di Vizio}, Invent. Math. 150, No. 3, 517--578 (2002; Zbl 1023.12004) Full Text: DOI arXiv OpenURL
Polhill, John B. Constructions of nested partial difference sets with Galois rings. (English) Zbl 1012.05035 Des. Codes Cryptography 25, No. 3, 299-309 (2002). MSC: 05B10 13B05 PDF BibTeX XML Cite \textit{J. B. Polhill}, Des. Codes Cryptography 25, No. 3, 299--309 (2002; Zbl 1012.05035) Full Text: DOI OpenURL
Shabat, A. B. Discretization of the Schrödinger spectral problem. (English) Zbl 1087.39020 Inverse Probl. 18, No. 4, 1003-1011 (2002). MSC: 39A12 39A70 81Q05 34A55 34L25 34L40 34M50 PDF BibTeX XML Cite \textit{A. B. Shabat}, Inverse Probl. 18, No. 4, 1003--1011 (2002; Zbl 1087.39020) Full Text: DOI OpenURL
Bronstein, Manuel Computer algebra algorithms for linear ordinary differential and difference equations. (English) Zbl 1021.12006 Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10-14, 2000. Volume II. Basel: Birkhäuser. Prog. Math. 202, 105-119 (2001). MSC: 12Y05 12H20 68W30 34-04 34A30 39A05 PDF BibTeX XML Cite \textit{M. Bronstein}, Prog. Math. 202, 105--119 (2001; Zbl 1021.12006) OpenURL
Streit, Manfred; Wolfart, Jürgen Cyclic projective planes and Wada dessins. (English) Zbl 0986.05035 Doc. Math. 6, 37-66 (2001). Reviewer: Norbert Knarr (Braunschweig) MSC: 05C10 14G32 30F10 20H10 57M15 PDF BibTeX XML Cite \textit{M. Streit} and \textit{J. Wolfart}, Doc. Math. 6, 37--66 (2001; Zbl 0986.05035) Full Text: EuDML EMIS OpenURL
Key, J. D. Some applications of Magma in designs and codes: Oval designs, Hermitian unitals and generalized Reed-Muller codes. (English) Zbl 0971.05021 J. Symb. Comput. 31, No. 1-2, 37-53 (2001). Reviewer: Esther R.Lamken (Pasadena) MSC: 05B05 68W30 05B30 94B05 51E22 94B27 PDF BibTeX XML Cite \textit{J. D. Key}, J. Symb. Comput. 31, No. 1--2, 37--53 (2001; Zbl 0971.05021) Full Text: DOI OpenURL
Cassou-Noguès, Pierrette; Couveignes, Jean-Marc Explicit factorizations of \(g(y)-h(z)\). (Factorisations explicites de \(g(y)-h(z)\).) (English) Zbl 0923.12004 Acta Arith. 87, No. 4, 291-317 (1999). Reviewer: Harvey Cohn (Bowie) MSC: 12F10 12Y05 12D05 14H30 05B10 12-04 PDF BibTeX XML Cite \textit{P. Cassou-Noguès} and \textit{J.-M. Couveignes}, Acta Arith. 87, No. 4, 291--317 (1999; Zbl 0923.12004) Full Text: DOI EuDML Link OpenURL
Hendriks, Peter A. An algorithm determining the difference Galois group of second order linear difference equations. (English) Zbl 0908.68080 J. Symb. Comput. 26, No. 4, 445-461 (1998). MSC: 12H10 12Y05 68W30 PDF BibTeX XML Cite \textit{P. A. Hendriks}, J. Symb. Comput. 26, No. 4, 445--461 (1998; Zbl 0908.68080) Full Text: DOI OpenURL
Hou, Xiang-Dong \(q\)-ary bent functions constructed from chain rings. (English) Zbl 1012.05038 Finite Fields Appl. 4, No. 1, 55-61 (1998). MSC: 05B10 16P10 94A55 11T99 PDF BibTeX XML Cite \textit{X.-D. Hou}, Finite Fields Appl. 4, No. 1, 55--61 (1998; Zbl 1012.05038) Full Text: DOI OpenURL
van der Put, Marius; Singer, Michael F. Galois theory of difference equations. (English) Zbl 0930.12006 Lecture Notes in Mathematics. 1666. Berlin: Springer. vii, 180 p. (1997). Reviewer: Andy R. Magid (Norman) MSC: 12H10 12-02 39A10 PDF BibTeX XML Cite \textit{M. van der Put} and \textit{M. F. Singer}, Galois theory of difference equations. Berlin: Springer (1997; Zbl 0930.12006) Full Text: DOI OpenURL
Hendriks, Peter A. An algorithm for computing a standard form for second-order linear \(q\)-difference equations. (English) Zbl 0877.12004 J. Pure Appl. Algebra 117-118, 331-352 (1997). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H10 34A05 68W30 PDF BibTeX XML Cite \textit{P. A. Hendriks}, J. Pure Appl. Algebra 117--118, 331--352 (1997; Zbl 0877.12004) Full Text: DOI OpenURL
Jain, Surender Kumar (ed.) Applied abstract algebra. (English) Zbl 0891.00002 Delhi: University of Delhi, Centre for Professional Development in Higher Education, 105 p. (1996). Reviewer: S.Rudeanu (Bucureşti) MSC: 00A05 05-01 94-01 90-01 00A69 PDF BibTeX XML Cite \textit{S. K. Jain} (ed.), Applied abstract algebra. Delhi: University of Delhi, Centre for Professional Development in Higher Education (1996; Zbl 0891.00002) OpenURL
van der Put, Marius Galois theory of difference equations. A survey. (English) Zbl 0860.12004 Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific, 237-259 (1996). Reviewer: N. Sankaran (Bangalore) MSC: 12H10 39A10 12-02 PDF BibTeX XML Cite \textit{M. van der Put}, in: The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 237--259 (1996; Zbl 0860.12004) OpenURL
Etingof, Pavel Galois groups and connection matrices for \(q\)-difference equations. (English) Zbl 0844.12004 Electron. Res. Announc. Am. Math. Soc. 1, No. 1, 1-9 (1995). MSC: 12H10 39A10 PDF BibTeX XML Full Text: DOI EuDML OpenURL
Meurice, Yannick The classical harmonic oscillator on Galois and p-adic fields. (English) Zbl 0681.58045 Int. J. Mod. Phys. A 4, No. 9, 2211-2233 (1989). MSC: 58Z05 81T30 37G15 12F99 83E30 74K05 PDF BibTeX XML Cite \textit{Y. Meurice}, Int. J. Mod. Phys. A 4, No. 9, 2211--2233 (1989; Zbl 0681.58045) Full Text: DOI OpenURL