Roques, Julien Frobenius method for Mahler equations. (English) Zbl 07810914 J. Math. Soc. Japan 76, No. 1, 229-268 (2024). MSC: 39B32 12H10 46A22 PDFBibTeX XMLCite \textit{J. Roques}, J. Math. Soc. Japan 76, No. 1, 229--268 (2024; Zbl 07810914) Full Text: DOI Link
Bell, Jason; Smertnig, Daniel \(D\)-finite multivariate series with arithmetic restrictions on their coefficients. (English) Zbl 07755498 Can. J. Math. 75, No. 6, 1745-1779 (2023). MSC: 11D88 12H05 13F25 11D61 PDFBibTeX XMLCite \textit{J. Bell} and \textit{D. Smertnig}, Can. J. Math. 75, No. 6, 1745--1779 (2023; Zbl 07755498) Full Text: DOI arXiv OA License
Zhu, Zhicheng; Zhang, Huhu; Gao, Xing Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gröbner-Shirshov bases. (English) Zbl 07713613 Int. J. Algebra Comput. 33, No. 4, 787-817 (2023). Reviewer: Loïc Foissy (Calais) MSC: 16S10 17B38 16Z10 12H05 16T30 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Int. J. Algebra Comput. 33, No. 4, 787--817 (2023; Zbl 07713613) Full Text: DOI arXiv
Cano, J.; Fortuny Ayuso, P. Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon. (English) Zbl 1503.39002 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 123, 31 p. (2022). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 39A13 12H10 PDFBibTeX XMLCite \textit{J. Cano} and \textit{P. Fortuny Ayuso}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 123, 31 p. (2022; Zbl 1503.39002) Full Text: DOI arXiv
El Kaoutit, Laiachi; Saracco, Paolo The Hopf algebroid structure of differentially recursive sequences. (English) Zbl 1508.12005 Quaest. Math. 45, No. 4, 547-593 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 12H05 16S32 16T05 34M15 05A19 03D20 34G10 41A58 PDFBibTeX XMLCite \textit{L. El Kaoutit} and \textit{P. Saracco}, Quaest. Math. 45, No. 4, 547--593 (2022; Zbl 1508.12005) Full Text: DOI arXiv
Bekker, Boris; Podkopaev, Oleg On the functional equation \(f(\alpha x+\beta )=f(x)\). (English) Zbl 1489.39029 Aequationes Math. 96, No. 2, 349-360 (2022). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 39B22 12E05 11R27 PDFBibTeX XMLCite \textit{B. Bekker} and \textit{O. Podkopaev}, Aequationes Math. 96, No. 2, 349--360 (2022; Zbl 1489.39029) Full Text: DOI
Roques, Julien On the archimedean and nonarchimedean \(q\)-Gevrey orders. (English) Zbl 1485.12009 Proc. Am. Math. Soc. 150, No. 3, 1167-1176 (2022). MSC: 12H10 12J25 39A13 PDFBibTeX XMLCite \textit{J. Roques}, Proc. Am. Math. Soc. 150, No. 3, 1167--1176 (2022; Zbl 1485.12009) Full Text: DOI
Roques, Julien On the algebraic and analytic \(q\)-de Rham complexes attached to \(q\)-difference equations. (English) Zbl 1486.14030 Trans. Am. Math. Soc. 375, No. 2, 1461-1507 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 14F40 32C35 39A06 39A13 39A45 39A70 12H10 PDFBibTeX XMLCite \textit{J. Roques}, Trans. Am. Math. Soc. 375, No. 2, 1461--1507 (2022; Zbl 1486.14030) Full Text: DOI
Wang, Zhihua; Park, Choonkil; Shin, Dong Yun Additive \(\rho \)-functional inequalities in non-Archimedean 2-normed spaces. (English) Zbl 1484.39030 AIMS Math. 6, No. 2, 1905-1919 (2021). MSC: 39B72 39B62 39B52 12J25 32P05 PDFBibTeX XMLCite \textit{Z. Wang} et al., AIMS Math. 6, No. 2, 1905--1919 (2021; Zbl 1484.39030) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., J. Am. Math. Soc. 34, No. 2, 475--503 (2021; Zbl 1479.39004) Full Text: DOI arXiv
Karpfinger, Christian Places of near-fields: to Heinrich Wefelscheid. (English) Zbl 1480.12009 Result. Math. 76, No. 3, Paper No. 135, 14 p. (2021). MSC: 12K05 12J10 12J15 12D15 PDFBibTeX XMLCite \textit{C. Karpfinger}, Result. Math. 76, No. 3, Paper No. 135, 14 p. (2021; Zbl 1480.12009) Full Text: DOI
Giesbrecht, Mark; Huang, Hui; Labahn, George; Zima, Eugene Efficient \(q\)-integer linear decomposition of multivariate polynomials. (English) Zbl 1486.11160 J. Symb. Comput. 107, 122-144 (2021). MSC: 11Y16 68W30 33F10 12H10 PDFBibTeX XMLCite \textit{M. Giesbrecht} et al., J. Symb. Comput. 107, 122--144 (2021; Zbl 1486.11160) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Di Vizio}, Lect. Notes Math. 2275, 29--59 (2021; Zbl 1473.12008) Full Text: DOI arXiv
Chou, Ping-Han; Liu, Cheng-Kai Power commuting additive maps on rank-\(k\) linear transformations. (English) Zbl 1460.15025 Linear Multilinear Algebra 69, No. 3, 403-427 (2021). Reviewer: Huynh Viet Khanh (Ho Chi Minh City) MSC: 15A54 15A04 15A27 15B33 16R60 16K20 12E15 PDFBibTeX XMLCite \textit{P.-H. Chou} and \textit{C.-K. Liu}, Linear Multilinear Algebra 69, No. 3, 403--427 (2021; Zbl 1460.15025) Full Text: DOI
Sirivoravit, Monrudee; Leerawat, Utsanee On a generalization of reverse derivation of certain algebraic structure. (English) Zbl 1487.16051 J. Discrete Math. Sci. Cryptography 23, No. 5, 1069-1076 (2020). MSC: 16Y80 12H05 13N15 16U80 PDFBibTeX XMLCite \textit{M. Sirivoravit} and \textit{U. Leerawat}, J. Discrete Math. Sci. Cryptography 23, No. 5, 1069--1076 (2020; Zbl 1487.16051) Full Text: DOI
Djagba, Prudence On the generalized distributive set of a finite nearfield. (English) Zbl 1436.16053 J. Algebra 542, 130-161 (2020). Reviewer: Erich W. Ellers (Toronto) MSC: 16Y30 12K05 PDFBibTeX XMLCite \textit{P. Djagba}, J. Algebra 542, 130--161 (2020; Zbl 1436.16053) Full Text: DOI arXiv
Schäfke, Reinhard; Singer, Michael F. Consistent systems of linear differential and difference equations. (English) Zbl 1425.39003 J. Eur. Math. Soc. (JEMS) 21, No. 9, 2751-2792 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 39A06 39A05 12H10 34A30 34M03 39A13 39A45 PDFBibTeX XMLCite \textit{R. Schäfke} and \textit{M. F. Singer}, J. Eur. Math. Soc. (JEMS) 21, No. 9, 2751--2792 (2019; Zbl 1425.39003) Full Text: DOI arXiv
Shulman, Ekaterina Each semipolynomial on a group is a polynomial. (English) Zbl 1442.12004 J. Math. Anal. Appl. 479, No. 1, 765-772 (2019). MSC: 12H10 39B52 PDFBibTeX XMLCite \textit{E. Shulman}, J. Math. Anal. Appl. 479, No. 1, 765--772 (2019; Zbl 1442.12004) Full Text: DOI
Kravtsova, Olga V. Minimal polynomials in finite semifields. (English) Zbl 07325450 J. Sib. Fed. Univ., Math. Phys. 11, No. 5, 588-596 (2018). MSC: 12K10 12E10 PDFBibTeX XMLCite \textit{O. V. Kravtsova}, J. Sib. Fed. Univ., Math. Phys. 11, No. 5, 588--596 (2018; Zbl 07325450) Full Text: DOI MNR
Nishioka, Seiji Differential transcendence of solutions of difference Riccati equations and Tietze’s treatment. (English) Zbl 1415.12006 J. Algebra 511, 16-40 (2018). MSC: 12H10 12H05 39A05 39A13 PDFBibTeX XMLCite \textit{S. Nishioka}, J. Algebra 511, 16--40 (2018; Zbl 1415.12006) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Roques}, Trans. Am. Math. Soc. 370, No. 1, 321--355 (2018; Zbl 1376.39002) Full Text: DOI Link
Ciepliński, Krzysztof On approximate homomorphisms of ternary semigroups. (English) Zbl 1412.12006 J. Nonlinear Sci. Appl. 10, No. 8, 4071-4076 (2017). MSC: 12J25 17A40 39B52 39B82 PDFBibTeX XMLCite \textit{K. Ciepliński}, J. Nonlinear Sci. Appl. 10, No. 8, 4071--4076 (2017; Zbl 1412.12006) Full Text: DOI
Nishioka, Seiji Irreducibility of discrete Painlevé equation of type \(D_7^{(1)}\). (English) Zbl 1414.12015 Funkc. Ekvacioj, Ser. Int. 60, No. 3, 305-324 (2017). MSC: 12H10 33E17 39A06 PDFBibTeX XMLCite \textit{S. Nishioka}, Funkc. Ekvacioj, Ser. Int. 60, No. 3, 305--324 (2017; Zbl 1414.12015) Full Text: DOI
Mantova, Vincenzo; Matusinski, Mickaël Surreal numbers with derivation, Hardy fields and transseries: a survey. To the memory of Murray Marshall. (English) Zbl 1437.03132 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 697, 265-290 (2017). MSC: 03C64 12J15 13N15 03C60 PDFBibTeX XMLCite \textit{V. Mantova} and \textit{M. Matusinski}, Contemp. Math. 697, 265--290 (2017; Zbl 1437.03132) Full Text: DOI
Figula, Ágota Multiplicative loops of topological quasifields. (English) Zbl 1405.20057 Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-37-9/pbk). Banach Center Publications 113, 123-134 (2017). MSC: 20N05 22A30 12K10 51A40 PDFBibTeX XMLCite \textit{Á. Figula}, Banach Cent. Publ. 113, 123--134 (2017; Zbl 1405.20057) Full Text: DOI Link
Falcone, Giovanni; Figula, Ágota; Strambach, Karl Multiplicative loops of quasifields having complex numbers as kernel. (English) Zbl 1405.20056 Result. Math. 72, No. 4, 2129-2156 (2017). MSC: 20N05 22A30 12K10 12K99 51A40 PDFBibTeX XMLCite \textit{G. Falcone} et al., Result. Math. 72, No. 4, 2129--2156 (2017; Zbl 1405.20056) Full Text: DOI
Hardouin, Charlotte; Minchenko, Andrei; Ovchinnikov, Alexey Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence. (English) Zbl 1425.12006 Math. Ann. 368, No. 1-2, 587-632 (2017). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 PDFBibTeX XMLCite \textit{C. Hardouin} et al., Math. Ann. 368, No. 1--2, 587--632 (2017; Zbl 1425.12006) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Di Vizio} et al., J. Inst. Math. Jussieu 16, No. 1, 59--119 (2017; Zbl 1390.12006) Full Text: DOI arXiv
Vincze, Cs. Algebraic dependency of roots of multivariate polynomials and its applications to linear functional equations. (English) Zbl 1399.12001 Period. Math. Hung. 74, No. 1, 112-117 (2017). MSC: 12D10 39B22 PDFBibTeX XMLCite \textit{Cs. Vincze}, Period. Math. Hung. 74, No. 1, 112--117 (2017; Zbl 1399.12001) Full Text: DOI
Rúa, I. F. Primitive semifields of order \(2^{4e}\). (English) Zbl 1404.12011 Des. Codes Cryptography 83, No. 2, 345-356 (2017). Reviewer: Hubert Kiechle (Hamburg) MSC: 12K10 51E15 PDFBibTeX XMLCite \textit{I. F. Rúa}, Des. Codes Cryptography 83, No. 2, 345--356 (2017; Zbl 1404.12011) Full Text: DOI
Macintyre, Angus Turing meets Schanuel. (English) Zbl 1432.03063 Ann. Pure Appl. Logic 167, No. 10, 901-938 (2016). MSC: 03C60 11U09 03C57 03D45 12L12 PDFBibTeX XMLCite \textit{A. Macintyre}, Ann. Pure Appl. Logic 167, No. 10, 901--938 (2016; Zbl 1432.03063) Full Text: DOI
Falcone, Giovanni; Figula, Ágota; Strambach, Karl Multiplicative loops of 2-dimensional topological quasifields. (English) Zbl 1351.22001 Commun. Algebra 44, No. 6, 2592-2620 (2016). Reviewer: Theo Grundhöfer (Würzburg) MSC: 22A30 51A40 20N05 12K99 PDFBibTeX XMLCite \textit{G. Falcone} et al., Commun. Algebra 44, No. 6, 2592--2620 (2016; Zbl 1351.22001) Full Text: DOI arXiv Link
Bourourou, S.; Boutabaa, A.; Zerzaihi, T. On the growth of solutions of difference equations in ultrametric fields. (English) Zbl 1371.39021 Indag. Math., New Ser. 27, No. 1, 112-123 (2016). MSC: 39B32 12H10 30G06 PDFBibTeX XMLCite \textit{S. Bourourou} et al., Indag. Math., New Ser. 27, No. 1, 112--123 (2016; Zbl 1371.39021) Full Text: DOI
Rúa, I. F. On the primitivity of four-dimensional finite semifields. (English) Zbl 1368.12005 Finite Fields Appl. 33, 212-229 (2015). MSC: 12K10 PDFBibTeX XMLCite \textit{I. F. Rúa}, Finite Fields Appl. 33, 212--229 (2015; Zbl 1368.12005) Full Text: DOI
Park, C. Quadratic \(\rho\)-functional inequalities in non-Archimedean normed spaces. (English) Zbl 1403.39025 J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 4, 187-195 (2015) and Izv. Nats. Akad. Nauk Armen., Mat. 50, No. 4, 68-80 (2015). Reviewer: Snezhana Hristova (Plovdiv) MSC: 39B62 46S10 39B52 47S10 12J25 PDFBibTeX XMLCite \textit{C. Park}, J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 4, 187--195 (2015; Zbl 1403.39025) Full Text: DOI
Szostok, Tomasz Functional equations stemming from numerical analysis. (English) Zbl 1317.39032 Diss. Math. 508, 57 p. (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 39B22 39B52 39B82 65D32 65D25 65Q20 39A70 12E05 PDFBibTeX XMLCite \textit{T. Szostok}, Diss. Math. 508, 57 p. (2015; Zbl 1317.39032) Full Text: DOI
La Scala, Roberto Gröbner bases and gradings for partial difference ideals. (English) Zbl 1328.12014 Math. Comput. 84, No. 292, 959-985 (2015). MSC: 12H10 13P10 PDFBibTeX XMLCite \textit{R. La Scala}, Math. Comput. 84, No. 292, 959--985 (2015; Zbl 1328.12014) Full Text: DOI arXiv
Gerdt, Vladimir; La Scala, Roberto Noetherian quotients of the algebra of partial difference polynomials and Gröbner bases of symmetric ideals. (English) Zbl 1327.12003 J. Algebra 423, 1233-1261 (2015). MSC: 12H10 13P10 13A50 PDFBibTeX XMLCite \textit{V. Gerdt} and \textit{R. La Scala}, J. Algebra 423, 1233--1261 (2015; Zbl 1327.12003) Full Text: DOI arXiv
Stichel, Damian Finite groups of Lie type as Galois groups over \(\mathbb{F}_p(t)\). (English) Zbl 1312.12001 J. Commut. Algebra 6, No. 4, 587-603 (2014). MSC: 12F12 20D06 PDFBibTeX XMLCite \textit{D. Stichel}, J. Commut. Algebra 6, No. 4, 587--603 (2014; Zbl 1312.12001) Full Text: DOI Euclid
Schauz, Uwe Classification of polynomial mappings between commutative groups. (English) Zbl 1311.20052 J. Number Theory 139, 1-28 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20K01 12E99 13F20 11T06 08A40 41A05 PDFBibTeX XMLCite \textit{U. Schauz}, J. Number Theory 139, 1--28 (2014; Zbl 1311.20052) Full Text: DOI arXiv
Schwarz, Fritz Loewy decomposition of linear differential equations. (English) Zbl 1272.35001 Bull. Math. Sci. 3, No. 1, 19-71 (2013). MSC: 35-02 68W30 12H05 13N10 13P05 35G05 35A25 PDFBibTeX XMLCite \textit{F. Schwarz}, Bull. Math. Sci. 3, No. 1, 19--71 (2013; Zbl 1272.35001) Full Text: DOI
Park, Choonkil; Kim, Gwang Hui; Lee, Jung Rye; Shin, Dong Yun Orthogonally additive-additive and orthogonally quadratic-quadratic functional equation in orthogonality spaces. (English) Zbl 1273.39021 J. Inequal. Appl. 2012, Paper No. 139, 17 p. (2012). MSC: 39B55 46S10 39B72 39B52 54E40 47H10 47S10 26E30 12J25 46H25 PDFBibTeX XMLCite \textit{C. Park} et al., J. Inequal. Appl. 2012, Paper No. 139, 17 p. (2012; Zbl 1273.39021) Full Text: DOI
Pinasco, Damián Lower bounds for norms of products of polynomials via Bombieri inequality. (English) Zbl 1283.30004 Trans. Am. Math. Soc. 364, No. 8, 3993-4010 (2012). Reviewer: Piroska Lakatos (Debrecen) MSC: 30C10 12D05 26D05 32A22 PDFBibTeX XMLCite \textit{D. Pinasco}, Trans. Am. Math. Soc. 364, No. 8, 3993--4010 (2012; Zbl 1283.30004) Full Text: DOI
Kim, Joonmo; Sheng, Li A note on balanced Howell rotations for twin prime power type. (English) Zbl 1257.05018 Discrete Math. Algorithms Appl. 4, No. 4, Paper No. 1250056, 5 p. (2012). MSC: 05B15 12E20 PDFBibTeX XMLCite \textit{J. Kim} and \textit{L. Sheng}, Discrete Math. Algorithms Appl. 4, No. 4, Paper No. 1250056, 5 p. (2012; Zbl 1257.05018) Full Text: DOI
Rúa, I. F.; Combarro, Elías F.; Ranilla, J. Determination of division algebras with 243 elements. (English) Zbl 1294.12006 Finite Fields Appl. 18, No. 6, 1148-1155 (2012). Reviewer: Hubert Kiechle (Hamburg) MSC: 12K10 17D99 17-04 17-08 51A35 PDFBibTeX XMLCite \textit{I. F. Rúa} et al., Finite Fields Appl. 18, No. 6, 1148--1155 (2012; Zbl 1294.12006) Full Text: DOI arXiv
Yu, Zhiheng; Yang, Lu; Zhang, Weinian Discussion on polynomials having polynomial iterative roots. (English) Zbl 1254.12002 J. Symb. Comput. 47, No. 10, 1154-1162 (2012). Reviewer: Piroska Lakatos (Debrecen) MSC: 12D10 26C10 39B12 68W30 PDFBibTeX XMLCite \textit{Z. Yu} et al., J. Symb. Comput. 47, No. 10, 1154--1162 (2012; Zbl 1254.12002) Full Text: DOI
Berthomieu, Jérémy; Lecerf, Grégoire Reduction of bivariate polynomials from convex-dense to dense, with application to factorizations. (English) Zbl 1271.12006 Math. Comput. 81, No. 279, 1799-1821 (2012). Reviewer: Luis David Garcia Puente (Huntsville) MSC: 12Y05 68W30 11Y16 12D05 13P05 PDFBibTeX XMLCite \textit{J. Berthomieu} and \textit{G. Lecerf}, Math. Comput. 81, No. 279, 1799--1821 (2012; Zbl 1271.12006) Full Text: DOI
Rúa, I. F.; Combarro, E. F. Commutative semifields of order \(3^5\). (English) Zbl 1264.12009 Commun. Algebra 40, No. 3, 988-996 (2012). Reviewer: Udo Hebisch (Freiberg) MSC: 12K10 51A40 PDFBibTeX XMLCite \textit{I. F. Rúa} and \textit{E. F. Combarro}, Commun. Algebra 40, No. 3, 988--996 (2012; Zbl 1264.12009) Full Text: DOI
Kuhlmann, Salma; Matusinski, Mickaël Hardy type derivations on fields of exponential logarithmic series. (English) Zbl 1247.12011 J. Algebra 345, No. 1, 171-189 (2011). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12J10 12H05 PDFBibTeX XMLCite \textit{S. Kuhlmann} and \textit{M. Matusinski}, J. Algebra 345, No. 1, 171--189 (2011; Zbl 1247.12011) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Nguyen}, C. R., Math., Acad. Sci. Paris 349, No. 17--18, 943--946 (2011; Zbl 1268.12004) Full Text: DOI
Rónyai, Lajos; Mészáros, Tamás Some combinatorial applications of Gröbner bases. (English) Zbl 1307.05236 Winkler, Franz (ed.), Algebraic informatics. 4th international conference, CAI 2011, Linz, Austria, June 21–24, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21492-9/pbk). Lecture Notes in Computer Science 6742, 65-83 (2011). MSC: 05E40 05D05 12D10 13P10 PDFBibTeX XMLCite \textit{L. Rónyai} and \textit{T. Mészáros}, Lect. Notes Comput. Sci. 6742, 65--83 (2011; Zbl 1307.05236) Full Text: DOI
Combarro, Elías F.; Rúa, I. F.; Ranilla, J. New advances in the computational exploration of semifields. (English) Zbl 1221.12012 Int. J. Comput. Math. 88, No. 9, 1990-2000 (2011). Reviewer: Udo Hebisch (Freiberg) MSC: 12K10 17D99 17-04 17-08 51A35 PDFBibTeX XMLCite \textit{E. F. Combarro} et al., Int. J. Comput. Math. 88, No. 9, 1990--2000 (2011; Zbl 1221.12012) Full Text: DOI
Nishioka, Seiji Transcendence of solutions of \(q\)-Painlevé equation of type \({A^{(1)}_{6}}\). (English) Zbl 1215.12011 Aequationes Math. 81, No. 1-2, 121-134 (2011). MSC: 12H10 33E17 39A13 PDFBibTeX XMLCite \textit{S. Nishioka}, Aequationes Math. 81, No. 1--2, 121--134 (2011; Zbl 1215.12011) Full Text: DOI
Gow, Rod; Sheekey, John On primitive elements in finite semifields. (English) Zbl 1221.12013 Finite Fields Appl. 17, No. 2, 194-204 (2011). Reviewer: Udo Hebisch (Freiberg) MSC: 12K10 PDFBibTeX XMLCite \textit{R. Gow} and \textit{J. Sheekey}, Finite Fields Appl. 17, No. 2, 194--204 (2011; Zbl 1221.12013) Full Text: DOI
Weimann, Martin A lifting and recombination algorithm for rational factorization of sparse polynomials. (English) Zbl 1236.12001 J. Complexity 26, No. 6, 608-628 (2010). MSC: 12E05 12Y05 65Y20 68Q25 PDFBibTeX XMLCite \textit{M. Weimann}, J. Complexity 26, No. 6, 608--628 (2010; Zbl 1236.12001) Full Text: DOI arXiv
Bertone, Cristina; Chèze, Guillaume; Galligo, André Modular Las Vegas algorithms for polynomial absolute factorization. (English) Zbl 1244.12006 J. Symb. Comput. 45, No. 12, 1280-1295 (2010). Reviewer: David Sevilla (Linz) MSC: 12Y05 68W30 13P05 PDFBibTeX XMLCite \textit{C. Bertone} et al., J. Symb. Comput. 45, No. 12, 1280--1295 (2010; Zbl 1244.12006) Full Text: DOI arXiv
Wene, G. P.; Hentzel, Irvin R. Albert’s construction for semifields of even order. (English) Zbl 1200.12006 Commun. Algebra 38, No. 5, 1790-1795 (2010). Reviewer: Udo Hebisch (Freiberg) MSC: 12K10 PDFBibTeX XMLCite \textit{G. P. Wene} and \textit{I. R. Hentzel}, Commun. Algebra 38, No. 5, 1790--1795 (2010; Zbl 1200.12006) Full Text: DOI
Rúa, I. F.; Combarro, Elías F.; Ranilla, J. Classification of semifields of order 64. (English) Zbl 1202.12003 J. Algebra 322, No. 11, 4011-4029 (2009). Reviewer: Hubert Kiechle (Hamburg) MSC: 12K10 17A35 51A40 PDFBibTeX XMLCite \textit{I. F. Rúa} et al., J. Algebra 322, No. 11, 4011--4029 (2009; Zbl 1202.12003) Full Text: DOI
D’Andrea, Carlos; Tabera, Luis Felipe Tropicalization and irreducibility of generalized Vandermonde determinants. (English) Zbl 1229.12005 Proc. Am. Math. Soc. 137, No. 11, 3647-3656 (2009). Reviewer: P. E. Frenkel (Budapest) MSC: 12E10 12E05 14M12 14T05 15A15 PDFBibTeX XMLCite \textit{C. D'Andrea} and \textit{L. F. Tabera}, Proc. Am. Math. Soc. 137, No. 11, 3647--3656 (2009; Zbl 1229.12005) Full Text: DOI arXiv
Faugère, Jean-Charles; Perret, Ludovic An efficient algorithm for decomposing multivariate polynomials and its applications to cryptography. (English) Zbl 1175.12004 J. Symb. Comput. 44, No. 12, 1676-1689 (2009). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 12Y05 94A60 13P10 PDFBibTeX XMLCite \textit{J.-C. Faugère} and \textit{L. Perret}, J. Symb. Comput. 44, No. 12, 1676--1689 (2009; Zbl 1175.12004) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Hardouin} and \textit{M. F. Singer}, Math. Ann. 342, No. 2, 333--377 (2008; Zbl 1163.12002) Full Text: DOI arXiv
Rosenkranz, Markus; Regensburger, Georg Solving and factoring boundary problems for linear ordinary differential equations in differential algebras. (English) Zbl 1151.34008 J. Symb. Comput. 43, No. 8, 515-544 (2008). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34B05 12H05 PDFBibTeX XMLCite \textit{M. Rosenkranz} and \textit{G. Regensburger}, J. Symb. Comput. 43, No. 8, 515--544 (2008; Zbl 1151.34008) Full Text: DOI
Hentzel, I. R.; Rúa, I. F. Primitivity of finite semifields with 64 and 81 elements. (English) Zbl 1143.17009 Int. J. Algebra Comput. 17, No. 7, 1411-1429 (2007). Reviewer: Gary L. Ebert (Newark/Delaware) MSC: 17D99 17-04 12K10 PDFBibTeX XMLCite \textit{I. R. Hentzel} and \textit{I. F. Rúa}, Int. J. Algebra Comput. 17, No. 7, 1411--1429 (2007; Zbl 1143.17009) Full Text: DOI
Alkan, E.; Bonciocat, A. I.; Bonciocat, N. C.; Zaharescu, A. Square-free criteria for polynomials using no derivatives. (English) Zbl 1172.12004 Proc. Am. Math. Soc. 135, No. 3, 677-687 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 12E05 11C08 11C20 12D05 PDFBibTeX XMLCite \textit{E. Alkan} et al., Proc. Am. Math. Soc. 135, No. 3, 677--687 (2007; Zbl 1172.12004) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. B. Levin}, Handb. Algebra 4, 241--334 (2006; Zbl 1209.12004) Full Text: DOI
Kaiser, Zoltán On stability of the monomial functional equation in normed spaces over fields with valuation. (English) Zbl 1101.39018 J. Math. Anal. Appl. 322, No. 2, 1188-1198 (2006). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 39B52 12J20 PDFBibTeX XMLCite \textit{Z. Kaiser}, J. Math. Anal. Appl. 322, No. 2, 1188--1198 (2006; Zbl 1101.39018) Full Text: DOI
Daróczy, Zoltán Functional equations involving means and Gauss compositions of means. (English) Zbl 1159.39306 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e417-e425 (2005). MSC: 39B22 39B12 12D10 PDFBibTeX XMLCite \textit{Z. Daróczy}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e417--e425 (2005; Zbl 1159.39306) Full Text: DOI
González, S.; Martínez, C.; Markov, V. T.; Nechaev, A. A.; Rúa, I. F. Cyclic generalized Galois rings. (English) Zbl 1134.17304 Commun. Algebra 33, No. 12, 4467-4478 (2005). MSC: 17A60 17A35 12K10 PDFBibTeX XMLCite \textit{S. González} et al., Commun. Algebra 33, No. 12, 4467--4478 (2005; Zbl 1134.17304) Full Text: DOI
Karpfinger, Ch. On the construction of valued Dickson near-fields. (Zur Konstruktion bewerteter Dicksonscher Fastkörper.) (German) Zbl 1159.12315 Abh. Math. Semin. Univ. Hamb. 75, 137-161 (2005). MSC: 12K05 12J20 16W60 PDFBibTeX XMLCite \textit{Ch. Karpfinger}, Abh. Math. Semin. Univ. Hamb. 75, 137--161 (2005; Zbl 1159.12315) Full Text: DOI
Girstmair, Kurt; Pauer, Franz; Wibmer, Michael On invariant relations between zeros of polynomials. (English) Zbl 1076.12005 Commun. Algebra 33, No. 7, 2157-2166 (2005). Reviewer: Richard Massy (Valenciennes) MSC: 12F10 13A50 13P10 PDFBibTeX XMLCite \textit{K. Girstmair} et al., Commun. Algebra 33, No. 7, 2157--2166 (2005; Zbl 1076.12005) Full Text: DOI
Rúa, I. F. Primitive and non primitive finite semifields. (English) Zbl 1142.17021 Commun. Algebra 32, No. 2, 793-803 (2004). MSC: 17D99 12K10 PDFBibTeX XMLCite \textit{I. F. Rúa}, Commun. Algebra 32, No. 2, 793--803 (2004; Zbl 1142.17021) Full Text: DOI
Gao, Shuhong; Rodrigues, Virgínia M. Irreducibility of polynomials modulo \(p\) via Newton polytopes. (English) Zbl 1108.13307 J. Number Theory 101, No. 1, 32-47 (2003). MSC: 13P05 12E05 11R09 52B20 PDFBibTeX XMLCite \textit{S. Gao} and \textit{V. M. Rodrigues}, J. Number Theory 101, No. 1, 32--47 (2003; Zbl 1108.13307) Full Text: DOI
Marshall, Murray A. Open questions in the theory of spaces of orderings. (English) Zbl 1018.11017 J. Symb. Log. 67, No. 1, 341-352 (2002). Reviewer: A.Tschimmel-Faltings (Bonn) MSC: 11E10 12J15 PDFBibTeX XMLCite \textit{M. A. Marshall}, J. Symb. Log. 67, No. 1, 341--352 (2002; Zbl 1018.11017) Full Text: DOI
Gao, Shuhong Absolute irreducibility of polynomials via Newton polytopes. (English) Zbl 0997.12001 J. Algebra 237, No. 2, 501-520 (2001). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12E05 52B20 13P05 PDFBibTeX XMLCite \textit{S. Gao}, J. Algebra 237, No. 2, 501--520 (2001; Zbl 0997.12001) Full Text: DOI Backlinks: MO
Sauer, Thomas Gröbner bases, H-bases and interpolation. (English) Zbl 0967.65005 Trans. Am. Math. Soc. 353, No. 6, 2293-2308 (2001). Reviewer: Antonio López-Carmona (Granada) MSC: 65D05 12Y05 13P10 PDFBibTeX XMLCite \textit{T. Sauer}, Trans. Am. Math. Soc. 353, No. 6, 2293--2308 (2001; Zbl 0967.65005) Full Text: DOI
Salvy, Bruno; Shackell, John Symbolic asymptotics: Multiseries of inverse functions. (English) Zbl 1013.68298 J. Symb. Comput. 27, No. 6, 543-563 (1999). MSC: 68W30 05A15 12H20 PDFBibTeX XMLCite \textit{B. Salvy} and \textit{J. Shackell}, J. Symb. Comput. 27, No. 6, 543--563 (1999; Zbl 1013.68298) Full Text: DOI Link
Wähling, Heinz On the normal subgroups of sharply 2- and sharply 3-transitive permutation groups. (Über die Normalteiler scharf zweifach und scharf dreifach transitiver Permutationsgruppen.) (German) Zbl 0961.20004 J. Geom. 61, No. 1-2, 182-196 (1998). Reviewer: Heinrich Wefelscheid (Duisburg) MSC: 20B22 12K05 20E07 PDFBibTeX XMLCite \textit{H. Wähling}, J. Geom. 61, No. 1--2, 182--196 (1998; Zbl 0961.20004) Full Text: DOI
Havlicek, Hans Affine circle geometry over quaternion skew fields. (English) Zbl 0902.51001 Discrete Math. 174, No. 1-3, 153-165 (1997). Reviewer: H.Szambien (Garbsen) MSC: 51B05 51B10 12F10 12F99 51A40 PDFBibTeX XMLCite \textit{H. Havlicek}, Discrete Math. 174, No. 1--3, 153--165 (1997; Zbl 0902.51001) Full Text: DOI arXiv
Jäger, Christine; Ratz, Dietmar A combined method for enclosing all solutions of nonlinear systems of polynomial equations. (English) Zbl 0833.65046 Reliab. Comput. 1, No. 1, 41-64 (1995). Reviewer: H.Ratschek (Düsseldorf) MSC: 65H10 65G30 26C10 12Y05 PDFBibTeX XMLCite \textit{C. Jäger} and \textit{D. Ratz}, Reliab. Comput. 1, No. 1, 41--64 (1995; Zbl 0833.65046) Full Text: DOI
Wähling, Heinz Approximation theorems for topological, valued, and ordered nearfields. (Approximationssätze für topologische, bewertete und angeordnete Fastkörper.) (German) Zbl 0837.12005 Result. Math. 26, No. 1-2, 178-194 (1994). Reviewer: H.Wefelscheid (Duisburg) MSC: 12K05 22A99 PDFBibTeX XMLCite \textit{H. Wähling}, Result. Math. 26, No. 1--2, 178--194 (1994; Zbl 0837.12005) Full Text: DOI
Shackell, John Rosenlicht fields. (English) Zbl 0772.34044 Trans. Am. Math. Soc. 335, No. 2, 579-595 (1993). Reviewer: N.V.Grigorenko (Kiev) MSC: 34E05 26A12 68W30 12H05 12J15 PDFBibTeX XMLCite \textit{J. Shackell}, Trans. Am. Math. Soc. 335, No. 2, 579--595 (1993; Zbl 0772.34044) Full Text: DOI
Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku Solutions of systems of algebraic equations and linear maps on residue class rings. (English) Zbl 0757.13013 J. Symb. Comput. 14, No. 4, 399-417 (1992). Reviewer: Y.Kuo (Knoxville) MSC: 13P10 12E12 PDFBibTeX XMLCite \textit{K. Yokoyama} et al., J. Symb. Comput. 14, No. 4, 399--417 (1992; Zbl 0757.13013) Full Text: DOI
Yamada, Mieko Supplementary difference sets and Jacobi sums. (English) Zbl 0776.05021 Discrete Math. 103, No. 1, 75-90 (1992). MSC: 05B10 12F20 PDFBibTeX XMLCite \textit{M. Yamada}, Discrete Math. 103, No. 1, 75--90 (1992; Zbl 0776.05021) Full Text: DOI
Gröger, Detlef Homomorphic couplings on the real quaternion field. (Homomorphe Kopplungen auf dem Körper der reellen Quaternionen.) (German) Zbl 0768.12007 Arch. Math. 58, No. 4, 354-359 (1992). Reviewer: W.Kerby (Hamburg) MSC: 12K05 12J99 PDFBibTeX XMLCite \textit{D. Gröger}, Arch. Math. 58, No. 4, 354--359 (1992; Zbl 0768.12007) Full Text: DOI
Kerby, William KT-nearfields of rank 2. (English) Zbl 0731.12014 Aequationes Math. 41, No. 2-3, 187-191 (1991). Reviewer: Hans Lausch (Clayton) MSC: 12K05 20B22 PDFBibTeX XMLCite \textit{W. Kerby}, Aequationes Math. 41, No. 2--3, 187--191 (1991; Zbl 0731.12014) Full Text: DOI EuDML
Wahl, Wolfgang; Wefelscheid, Heinrich Ordering and valuation in near-fields. (Anordnung und Bewertung in Fastkörpern.) (German) Zbl 0725.12005 Result. Math. 19, No. 3-4, 368-374 (1991). Reviewer: W. Kerby (Hamburg) MSC: 12K05 12J10 12J15 PDFBibTeX XMLCite \textit{W. Wahl} and \textit{H. Wefelscheid}, Result. Math. 19, No. 3--4, 368--374 (1991; Zbl 0725.12005) Full Text: DOI
Kerby, W. On a class of sharply 3-transitive groups. (English) Zbl 0749.12008 Abh. Math. Semin. Univ. Hamb. 61, 1-13 (1991). Reviewer: H.Wefelscheid (Duisburg) MSC: 12K05 20B22 PDFBibTeX XMLCite \textit{W. Kerby}, Abh. Math. Semin. Univ. Hamb. 61, 1--13 (1991; Zbl 0749.12008) Full Text: DOI
Wojtkowiak, Zdzisław A note on functional equations of the \(p\)-adic polylogarithms. (English) Zbl 0748.12006 Bull. Soc. Math. Fr. 119, No. 3, 343-370 (1991). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H05 30D05 11S80 34A30 PDFBibTeX XMLCite \textit{Z. Wojtkowiak}, Bull. Soc. Math. Fr. 119, No. 3, 343--370 (1991; Zbl 0748.12006) Full Text: DOI Numdam EuDML
Singer, Michael F. Formal solutions of differential equations. (English) Zbl 0727.12011 J. Symb. Comput. 10, No. 1, 59-94 (1990). Reviewer: N. V. Grigorenko (Kiev) MSC: 12H05 34A05 68W30 34E05 34-02 12-02 PDFBibTeX XMLCite \textit{M. F. Singer}, J. Symb. Comput. 10, No. 1, 59--94 (1990; Zbl 0727.12011) Full Text: DOI
Gröger, Detlef Kopplungen auf einem quadratischen Zahlkörper und eine Basis seiner Normengruppe. (Couplings on a quadratic number field and a basis of its norm group). (German) Zbl 0716.12007 Aequationes Math. 39, No. 2-3, 167-178 (1990). Reviewer: H.Wefelscheid MSC: 12K05 11R11 PDFBibTeX XMLCite \textit{D. Gröger}, Aequationes Math. 39, No. 2--3, 167--178 (1990; Zbl 0716.12007) Full Text: DOI EuDML
Fitchas, Noaï; Galligo, André; Morgenstern, Jacques Precise sequential and parallel complexity bounds for quantifier elimination over algebraically closed fields. (English) Zbl 0716.03023 J. Pure Appl. Algebra 67, No. 1, 1-14 (1990). MSC: 03C10 68Q25 68W30 12L12 PDFBibTeX XMLCite \textit{N. Fitchas} et al., J. Pure Appl. Algebra 67, No. 1, 1--14 (1990; Zbl 0716.03023) Full Text: DOI
Tabor, J. Quasi-additive functions. (English) Zbl 0708.39005 Aequationes Math. 39, No. 2-3, 179-197 (1990). Reviewer: G.L.Forti MSC: 39B52 39B72 51G05 12K10 11E81 12K05 PDFBibTeX XMLCite \textit{J. Tabor}, Aequationes Math. 39, No. 2--3, 179--197 (1990; Zbl 0708.39005) Full Text: DOI EuDML
Wähling, Heinz; Wefelscheid, Heinrich Die Gruppe der speziellen gebrochen-affinen Transformationen eines KT- Fastkörpers. (The group of special fractional affine transformations of a KT-nearfield). (German) Zbl 0705.20002 Arch. Math. 55, No. 2, 181-186 (1990). Reviewer: Th.Grundhöfer MSC: 20B22 12K05 20G15 20E07 20E32 PDFBibTeX XMLCite \textit{H. Wähling} and \textit{H. Wefelscheid}, Arch. Math. 55, No. 2, 181--186 (1990; Zbl 0705.20002) Full Text: DOI
Kerby, William Eine Bemerkung über die Gruppen PGL(2,F). (A remark on the groups PGL(2,F)). (German) Zbl 0694.20003 Result. Math. 15, No. 3-4, 291-293 (1989). Reviewer: H.Wefelscheid MSC: 20B22 12K05 PDFBibTeX XMLCite \textit{W. Kerby}, Result. Math. 15, No. 3--4, 291--293 (1989; Zbl 0694.20003) Full Text: DOI
Takayaa, Nobuki Gröbner basis and the problem of contiguous relations. (English) Zbl 0691.68032 Japan J. Appl. Math. 6, No. 1, 147-160 (1989). Reviewer: S.V.Duzhin MSC: 68W30 33C05 12H25 37J35 37K10 PDFBibTeX XMLCite \textit{N. Takayaa}, Japan J. Appl. Math. 6, No. 1, 147--160 (1989; Zbl 0691.68032) Full Text: DOI
Mikhalev, A. V.; Pankrat’ev, E. V. Differential and difference algebra. (English. Russian original) Zbl 0666.12018 J. Sov. Math. 45, No. 1, 912-955 (1989). MSC: 12H05 12H10 12-02 14L40 13N05 PDFBibTeX XMLCite \textit{A. V. Mikhalev} and \textit{E. V. Pankrat'ev}, J. Sov. Math. 45, No. 1, 912--955 (1989; Zbl 0666.12018) Full Text: DOI
Kobayashi, Hidetsune; Fujise, Tetsuro; Furukawa, Akio Solving systems of algebraic equations by a general elimination method. (English) Zbl 0648.12017 J. Symb. Comput. 5, No. 3, 303-320 (1988). Reviewer: T.Soundararajan MSC: 12E12 12-04 PDFBibTeX XMLCite \textit{H. Kobayashi} et al., J. Symb. Comput. 5, No. 3, 303--320 (1988; Zbl 0648.12017) Full Text: DOI
Korchmaros, G. 2-transitive abstract ovals of odd order. (English) Zbl 0627.51014 Aequationes Math. 33, 208-219 (1987). Reviewer: G.Faina MSC: 51E30 12K05 20B10 PDFBibTeX XMLCite \textit{G. Korchmaros}, Aequationes Math. 33, 208--219 (1987; Zbl 0627.51014) Full Text: DOI EuDML
Fischer, Pal; Heuvers, Konrad J. Composite n-forms and Cauchy kernels. (English) Zbl 0616.39002 Aequationes Math. 32, 63-73 (1987). Reviewer: M.Sablik MSC: 39B99 12E05 PDFBibTeX XMLCite \textit{P. Fischer} and \textit{K. J. Heuvers}, Aequationes Math. 32, 63--73 (1987; Zbl 0616.39002) Full Text: DOI EuDML
Haussmann, W.; Zeller, K. Approximate Zolotarev polynomials. (English) Zbl 0647.41006 Comput. Math. Appl., Part B 12, 1133-1140 (1986). Reviewer: S.M.Shah MSC: 41A10 12E10 PDFBibTeX XMLCite \textit{W. Haussmann} and \textit{K. Zeller}, Comput. Math. Appl., Part B 12, 1133--1140 (1986; Zbl 0647.41006)