Malagón, Camilo Sanabria Solutions of algebraic linear ordinary differential equations. (English) Zbl 07515329 J. Algebra 602, 60-82 (2022). MSC: 34-XX 12-XX PDF BibTeX XML Cite \textit{C. S. Malagón}, J. Algebra 602, 60--82 (2022; Zbl 07515329) Full Text: DOI OpenURL
Hida, Haruzo The universal ordinary deformation ring associated to a real quadratic field. (English) Zbl 07501854 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022). MSC: 11R23 11F25 11F33 11F80 11F11 11G18 11F27 PDF BibTeX XML Cite \textit{H. Hida}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022; Zbl 07501854) Full Text: DOI OpenURL
Roques, Julien; Singer, Michael F. On the algebraic dependence of holonomic functions. (Sur la dépendance algébrique des fonctions holonomes.) (English. French summary) Zbl 07500016 Ann. Henri Lebesgue 5, 141-177 (2022). MSC: 12H05 33C10 34M03 PDF BibTeX XML Cite \textit{J. Roques} and \textit{M. F. Singer}, Ann. Henri Lebesgue 5, 141--177 (2022; Zbl 07500016) Full Text: DOI OpenURL
Dreyfus, Thomas; Weil, Jacques-Arthur Computing the Lie algebra of the differential Galois group: the reducible case. (English) Zbl 07493812 J. Symb. Comput. 112, 122-163 (2022). MSC: 34M03 34M15 34M25 17B45 68W30 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{J.-A. Weil}, J. Symb. Comput. 112, 122--163 (2022; Zbl 07493812) Full Text: DOI arXiv OpenURL
Maurischat, A.; Perkins, R. Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions. (English) Zbl 07468302 Int. J. Number Theory 18, No. 1, 113-130 (2022). MSC: 11J93 11G09 12F10 11F80 33E50 41A58 34L99 PDF BibTeX XML Cite \textit{A. Maurischat} and \textit{R. Perkins}, Int. J. Number Theory 18, No. 1, 113--130 (2022; Zbl 07468302) Full Text: DOI arXiv 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
Tauvel, Patrice Commutative fields and Galois theory. course and exercices. 3rd revised edition. (Corps commutatifs et théorie de Galois. Cours et exercices.) (French) Zbl 07517400 Mathématiques en Devenir 102. Montrouge: Calvage et Mounet (ISBN 978-2-916352-87-9/pbk). xix, 352 p. (2021). MSC: 11-01 12-01 12Fxx 12Exx 11R32 12H05 PDF BibTeX XML Cite \textit{P. Tauvel}, Corps commutatifs et théorie de Galois. Cours et exercices. 3rd revised edition. Montrouge: Calvage et Mounet (2021; Zbl 07517400) OpenURL
Dreyfus, Thomas; Weil, Jacques-Arthur Differential Galois theory and integration. (English) Zbl 07458366 Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 145-171 (2021). MSC: 12H05 34A30 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{J.-A. Weil}, in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 145--171 (2021; Zbl 07458366) Full Text: DOI arXiv OpenURL
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 07453484 J. Geom. Mech. 13, No. 3, 385-402 (2021). MSC: 01A60 17B66 18G45 12G05 12H05 17-03 17B55 20J05 53-03 53D17 55Q15 58H05 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Geom. Mech. 13, No. 3, 385--402 (2021; Zbl 07453484) Full Text: DOI OpenURL
Fresán, Javier; Jossen, Peter A non-hypergeometric \(E\)-function. (English) Zbl 1482.11099 Ann. Math. (2) 194, No. 3, 903-942 (2021). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J91 33C20 34M35 PDF BibTeX XML Cite \textit{J. Fresán} and \textit{P. Jossen}, Ann. Math. (2) 194, No. 3, 903--942 (2021; Zbl 1482.11099) Full Text: DOI arXiv OpenURL
Shibayama, Mitsuru; Yamada, Junji Nonintegrability of the reduced planar three-body problem with generalized force. (English) Zbl 07441639 Regul. Chaotic Dyn. 26, No. 4, 439-455 (2021). Reviewer: Sergi Simon (Portsmouth) MSC: 70H07 70F07 37J30 34M15 PDF BibTeX XML Cite \textit{M. Shibayama} and \textit{J. Yamada}, Regul. Chaotic Dyn. 26, No. 4, 439--455 (2021; Zbl 07441639) Full Text: DOI 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
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Pop, Florian Large fields in differential Galois theory. (English) Zbl 1481.12007 J. Inst. Math. Jussieu 20, No. 6, 1931-1946 (2021). Reviewer: Andreas Maurischat (Aachen) MSC: 12H05 12E30 20G15 12F12 14H25 PDF BibTeX XML Cite \textit{A. Bachmayr} et al., J. Inst. Math. Jussieu 20, No. 6, 1931--1946 (2021; Zbl 1481.12007) Full Text: DOI arXiv OpenURL
Golubkov, Andrey Alexandrovich Inverse problem for the Sturm-Liouville equation with piecewise entire potential and piecewise constant weight on a curve. (English) Zbl 07411058 Sib. Èlektron. Mat. Izv. 18, 951-974 (2021). MSC: 34M05 34B24 34A55 34M50 PDF BibTeX XML Cite \textit{A. A. Golubkov}, Sib. Èlektron. Mat. Izv. 18, 951--974 (2021; Zbl 07411058) Full Text: DOI OpenURL
Novokshenov, Viktor Yur’evich Discrete Riemann-Hilbert problem and interpolation of entire functions. (Russian. English translation) Zbl 07407669 Ufim. Mat. Zh. 13, No. 2, 74-85 (2021); translation in Ufa Math. J. 13, No. 2, 70-80 (2021). MSC: 30D30 30E10 33C10 33E17 34M50 37K60 PDF BibTeX XML Cite \textit{V. Y. Novokshenov}, Ufim. Mat. Zh. 13, No. 2, 74--85 (2021; Zbl 07407669); translation in Ufa Math. J. 13, No. 2, 70--80 (2021) Full Text: DOI MNR OpenURL
Benameur, Moulay-Tahar The relative \(L^2\) index theorem for Galois coverings. (English) Zbl 07395126 Ann. \(K\)-Theory 6, No. 3, 503-541 (2021). Reviewer: Costache Apreutesei (Iaşi) MSC: 53C27 53C12 57R30 PDF BibTeX XML Cite \textit{M.-T. Benameur}, Ann. \(K\)-Theory 6, No. 3, 503--541 (2021; Zbl 07395126) Full Text: DOI arXiv OpenURL
Cotti, Giordano Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials. (English) Zbl 1477.53112 Lett. Math. Phys. 111, No. 4, Paper No. 99, 44 p. (2021). MSC: 53D45 34M40 34M50 34M56 PDF BibTeX XML Cite \textit{G. Cotti}, Lett. Math. Phys. 111, No. 4, Paper No. 99, 44 p. (2021; Zbl 1477.53112) Full Text: DOI arXiv OpenURL
Schempp, Walter J. Congruence and metaplectic covariance: rational biquadratic reciprocity and quantum entanglement. (English) Zbl 07381517 Constr. Math. Anal. 4, No. 1, 61-80 (2021). MSC: 11R18 11S25 11T22 PDF BibTeX XML Cite \textit{W. J. Schempp}, Constr. Math. Anal. 4, No. 1, 61--80 (2021; Zbl 07381517) Full Text: DOI OpenURL
Brown, Ronald; Janelidze, George; Peschke, George Van Kampen’s theorem for locally sectionable maps. (English) Zbl 07377640 Theory Appl. Categ. 36, 48-64 (2021). MSC: 18-XX 20L05 55Q05 55R99 12F10 57M05 PDF BibTeX XML Cite \textit{R. Brown} et al., Theory Appl. Categ. 36, 48--64 (2021; Zbl 07377640) Full Text: Link 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
Tsang, Cindy (Sin Yi) Hopf-Galois structures on finite extensions with quasisimple Galois group. (English) Zbl 07367025 Bull. Lond. Math. Soc. 53, No. 1, 148-160 (2021). Reviewer: Cornelius Greither (Neubiberg) MSC: 20B35 20D05 12F10 12H05 16T05 PDF BibTeX XML Cite \textit{C. Y. Tsang}, Bull. Lond. Math. Soc. 53, No. 1, 148--160 (2021; Zbl 07367025) Full Text: DOI arXiv OpenURL
Grady, Daniel; Sati, Hisham Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers. (English) Zbl 1467.81080 J. Geom. Phys. 165, Article ID 104203, 24 p. (2021). MSC: 81T32 57R19 55P62 14G32 PDF BibTeX XML Cite \textit{D. Grady} and \textit{H. Sati}, J. Geom. Phys. 165, Article ID 104203, 24 p. (2021; Zbl 1467.81080) 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
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael Free differential Galois groups. (English) Zbl 1481.12008 Trans. Am. Math. Soc. 374, No. 6, 4293-4308 (2021). Reviewer: Andy R. Magid (Norman) MSC: 12H05 12F12 34M50 14L15 20G15 PDF BibTeX XML Cite \textit{A. Bachmayr} et al., Trans. Am. Math. Soc. 374, No. 6, 4293--4308 (2021; Zbl 1481.12008) Full Text: DOI arXiv OpenURL
Stoppa, Jacopo Stable pairs, flat connections and Gopakumar-Vafa invariants. (English) Zbl 1460.14124 Boll. Unione Mat. Ital. 14, No. 1, 117-136 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 34M50 PDF BibTeX XML Cite \textit{J. Stoppa}, Boll. Unione Mat. Ital. 14, No. 1, 117--136 (2021; Zbl 1460.14124) 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
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael The differential Galois group of the rational function field. (English) Zbl 1461.12003 Adv. Math. 381, Article ID 107605, 28 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 12H05 12F12 34M50 14L15 PDF BibTeX XML Cite \textit{A. Bachmayr} et al., Adv. Math. 381, Article ID 107605, 28 p. (2021; Zbl 1461.12003) 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
Hida, Haruzo Cyclicity of adjoint Selmer groups and fundamental units. (English) Zbl 1472.11124 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 351-411 (2020). MSC: 11F25 11F33 11F80 11R23 11F11 11F27 11G18 PDF BibTeX XML Cite \textit{H. Hida}, Adv. Stud. Pure Math. 86, 351--411 (2020; Zbl 1472.11124) Full Text: DOI OpenURL
Acosta-Humánez, Primitivo B.; Capitán, José A.; Morales-Ruiz, Juan J. Integrability of stochastic birth-death processes via differential Galois theory. (English) Zbl 1469.92082 Math. Model. Nat. Phenom. 15, Paper No. 70, 25 p. (2020). MSC: 92D25 60J80 34M25 35Q92 PDF BibTeX XML Cite \textit{P. B. Acosta-Humánez} et al., Math. Model. Nat. Phenom. 15, Paper No. 70, 25 p. (2020; Zbl 1469.92082) Full Text: DOI arXiv OpenURL
Pridham, Jonathan P. Tannaka duality for enhanced triangulated categories. I: Reconstruction. (English) Zbl 1477.18031 J. Noncommut. Geom. 14, No. 2, 591-637 (2020). MSC: 18G80 14A30 14F42 16D90 16E45 PDF BibTeX XML Cite \textit{J. P. Pridham}, J. Noncommut. Geom. 14, No. 2, 591--637 (2020; Zbl 1477.18031) Full Text: DOI arXiv 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
Mebkhout, Zoghman On the monodromy theorem for the family of \(p\)-adic differential equations. (Sur le théorème de la monodromie pour une famille d’équations différentielles \(p\)-adiques.) (French. English summary) Zbl 1472.14025 Bull. Soc. Math. Fr. 148, No. 4, 651-708 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F30 14D05 11S20 11S80 12H25 PDF BibTeX XML Cite \textit{Z. Mebkhout}, Bull. Soc. Math. Fr. 148, No. 4, 651--708 (2020; Zbl 1472.14025) Full Text: DOI OpenURL
Goto, Yoshiaki; Koike, Kenji Picard-Vessiot groups of Lauricella’s hypergeometric systems \(E_C\) and Calabi-Yau varieties arising integral representations. (English) Zbl 1456.14014 J. Lond. Math. Soc., II. Ser. 102, No. 1, 22-42 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 14J28 33C65 32S40 14J32 PDF BibTeX XML Cite \textit{Y. Goto} and \textit{K. Koike}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 22--42 (2020; Zbl 1456.14014) Full Text: DOI arXiv OpenURL
Blázquez-Sanz, David; Marín Arango, Carlos Alberto; Ruiz Castrillon, Juan Felipe A simplified categorical approach to several Galois theories. (English. French summary) Zbl 1455.18003 Cah. Topol. Géom. Différ. Catég. 61, No. 4, 450-473 (2020). Reviewer: Peeter Normak (Tallinn) MSC: 18B40 57M10 12F10 12H05 53C12 PDF BibTeX XML Cite \textit{D. Blázquez-Sanz} et al., Cah. Topol. Géom. Différ. Catég. 61, No. 4, 450--473 (2020; Zbl 1455.18003) Full Text: arXiv Link OpenURL
Elmandouh, A. A. On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces. (English) Zbl 07265417 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105368, 11 p. (2020). MSC: 70-XX 37-XX PDF BibTeX XML Cite \textit{A. A. Elmandouh}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105368, 11 p. (2020; Zbl 07265417) Full Text: DOI OpenURL
Szumiński, Wojciech; Woźniak, Dariusz Dynamics and integrability analysis of two pendulums coupled by a spring. (English) Zbl 1465.70061 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105099, 16 p. (2020). MSC: 70H07 37J30 PDF BibTeX XML Cite \textit{W. Szumiński} and \textit{D. Woźniak}, Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105099, 16 p. (2020; Zbl 1465.70061) Full Text: DOI OpenURL
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei Integrability analysis of the Shimizu-Morioka system. (English) Zbl 1456.34002 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105101, 12 p. (2020). MSC: 34A05 34A34 34C14 PDF BibTeX XML Cite \textit{K. Huang} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105101, 12 p. (2020; Zbl 1456.34002) Full Text: DOI OpenURL
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. (English) Zbl 1470.34004 Regul. Chaotic Dyn. 25, No. 3, 295-312 (2020). Reviewer: Igor Leite Freire (Sao Paulo) MSC: 34A05 34M15 34M45 PDF BibTeX XML Cite \textit{K. Huang} et al., Regul. Chaotic Dyn. 25, No. 3, 295--312 (2020; Zbl 1470.34004) Full Text: DOI OpenURL
Bosch, Siegfried Algebra. 9th revised edition. (Algebra.) (German) Zbl 1440.12001 Berlin: Springer Spektrum (ISBN 978-3-662-61648-2/pbk; 978-3-662-61649-9/ebook). x, 491 p. (2020). MSC: 12-01 12Exx 12Fxx 20-01 PDF BibTeX XML Cite \textit{S. Bosch}, Algebra. 9th revised edition. Berlin: Springer Spektrum (2020; Zbl 1440.12001) Full Text: DOI OpenURL
Aravire, Roberto; Jacob, Bill; O’Ryan, Manuel Cohomological kernels of purely inseparable field extensions. (English) Zbl 1469.12005 Pac. J. Math. 306, No. 2, 385-419 (2020). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12F15 12G05 16K50 PDF BibTeX XML Cite \textit{R. Aravire} et al., Pac. J. Math. 306, No. 2, 385--419 (2020; Zbl 1469.12005) Full Text: DOI OpenURL
Morales-Ruiz, Juan J. A differential Galois approach to path integrals. (English) Zbl 1443.81051 J. Math. Phys. 61, No. 5, 052103, 12 p. (2020). MSC: 81S40 81Q20 70H06 34M50 PDF BibTeX XML Cite \textit{J. J. Morales-Ruiz}, J. Math. Phys. 61, No. 5, 052103, 12 p. (2020; Zbl 1443.81051) Full Text: DOI arXiv OpenURL
Maciejewski, Andrzej J.; Przybylska, Maria Integrability analysis of the stretch-twist-fold flow. (English) Zbl 1445.37038 J. Nonlinear Sci. 30, No. 4, 1607-1649 (2020). MSC: 37J30 37J35 34M15 76W05 76D07 PDF BibTeX XML Cite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, J. Nonlinear Sci. 30, No. 4, 1607--1649 (2020; Zbl 1445.37038) Full Text: DOI OpenURL
Barkatou, Moulay; Cluzeau, Thomas; Di Vizio, Lucia; Weil, Jacques-Arthur Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz. (English) Zbl 1448.12002 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 054, 13 p. (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 12G05 34M03 34M15 34M35 PDF BibTeX XML Cite \textit{M. Barkatou} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 054, 13 p. (2020; Zbl 1448.12002) Full Text: DOI arXiv OpenURL
Maurischat, Andreas Reduced group schemes as iterative differential Galois groups. (English) Zbl 1478.12005 Isr. J. Math. 237, No. 1, 437-455 (2020). Reviewer: Ismail Huseynov (Mersin) MSC: 12H05 20G15 34M50 PDF BibTeX XML Cite \textit{A. Maurischat}, Isr. J. Math. 237, No. 1, 437--455 (2020; Zbl 1478.12005) Full Text: DOI arXiv OpenURL
Bassett, M. E.; Majid, S. Finite noncommutative geometries related to \(\mathbb{F}_p[x]\). (English) Zbl 1437.81043 Algebr. Represent. Theory 23, No. 2, 251-274 (2020). MSC: 81R50 58B32 46L87 16T05 PDF BibTeX XML Cite \textit{M. E. Bassett} and \textit{S. Majid}, Algebr. Represent. Theory 23, No. 2, 251--274 (2020; Zbl 1437.81043) Full Text: DOI arXiv OpenURL
Andrade, Jaime; Boatto, Stefanella; Combot, Thierry; Duarte, Gladston; Stuchi, Teresinha J. \(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics. (English) Zbl 1454.37055 Regul. Chaotic Dyn. 25, No. 1, 78-110 (2020). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 37J30 37J25 53Z05 70G60 70H05 70F10 PDF BibTeX XML Cite \textit{J. Andrade} et al., Regul. Chaotic Dyn. 25, No. 1, 78--110 (2020; Zbl 1454.37055) Full Text: DOI OpenURL
Charlier, Christophe; Claeys, Tom Large gap asymptotics for Airy kernel determinants with discontinuities. (English) Zbl 1475.37014 Commun. Math. Phys. 375, No. 2, 1299-1339 (2020). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 37A50 15B52 15A15 60B20 60G55 34M50 PDF BibTeX XML Cite \textit{C. Charlier} and \textit{T. Claeys}, Commun. Math. Phys. 375, No. 2, 1299--1339 (2020; Zbl 1475.37014) Full Text: DOI arXiv OpenURL
Hasson, Hilaf; Yelton, Jeffrey Prime-to-\(p\) étale fundamental groups of punctured projective lines over strictly Henselian fields. (English) Zbl 1439.14100 Trans. Am. Math. Soc. 373, No. 5, 3009-3030 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 14H30 14G20 11S20 14G32 14F35 57M05 20F34 14D05 PDF BibTeX XML Cite \textit{H. Hasson} and \textit{J. Yelton}, Trans. Am. Math. Soc. 373, No. 5, 3009--3030 (2020; Zbl 1439.14100) Full Text: DOI arXiv OpenURL
van der Put, M.; Sanabria Malagón, C.; Top, J. Linear differential equations with finite differential Galois group. (English) Zbl 1475.12010 J. Algebra 553, 1-25 (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 12F12 34M15 34M50 PDF BibTeX XML Cite \textit{M. van der Put} et al., J. Algebra 553, 1--25 (2020; Zbl 1475.12010) Full Text: DOI arXiv OpenURL
Combot, Thierry; Maciejewski, Andrzej J.; Przybylska, Maria Bi-homogeneity and integrability of rational potentials. (English) Zbl 1461.37059 J. Differ. Equations 268, No. 11, 7012-7028 (2020). Reviewer: Manuel de León (Madrid) MSC: 37J35 37J30 PDF BibTeX XML Cite \textit{T. Combot} et al., J. Differ. Equations 268, No. 11, 7012--7028 (2020; Zbl 1461.37059) Full Text: DOI OpenURL
Aguilar-Guzmán, Jorge; González, Jesús; León-Medina, José Luis Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers. (English) Zbl 07177618 J. Appl. Comput. Topol. 4, No. 1, 181-198 (2020). MSC: 06A07 55P15 57R70 PDF BibTeX XML Cite \textit{J. Aguilar-Guzmán} et al., J. Appl. Comput. Topol. 4, No. 1, 181--198 (2020; Zbl 07177618) Full Text: DOI OpenURL
Katz, Nicholas M. A note on Galois representations with big image. (English) Zbl 1476.11137 Enseign. Math. (2) 65, No. 3-4, 271-301 (2019). Reviewer: Lei Yang (Beijing) MSC: 11R32 11T24 34M35 PDF BibTeX XML Cite \textit{N. M. Katz}, Enseign. Math. (2) 65, No. 3--4, 271--301 (2019; Zbl 1476.11137) Full Text: DOI 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
Chatzidakis, Zoé; Pillay, Anand Generalized Picard-Vessiot extensions and differential Galois cohomology. (English. French summary) Zbl 1447.12003 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 813-830 (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 03C98 PDF BibTeX XML Cite \textit{Z. Chatzidakis} and \textit{A. Pillay}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 813--830 (2019; Zbl 1447.12003) Full Text: DOI arXiv OpenURL
Crespo, Teresa; Hajto, Zbigniew Picard-Vessiot extensions of real differential fields. (English) Zbl 1447.12004 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 13B05 14P05 12D15 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019; Zbl 1447.12004) Full Text: DOI OpenURL
Korotyaev, E. L. Inverse problems for finite vector-valued Jacobi operators. (English. Russian original) Zbl 1434.34076 Funct. Anal. Appl. 53, No. 3, 174-181 (2019); translation from Funkts. Anal. Prilozh. 53, No. 3, 23-32 (2019). MSC: 34M46 34M50 47A35 PDF BibTeX XML Cite \textit{E. L. Korotyaev}, Funct. Anal. Appl. 53, No. 3, 174--181 (2019; Zbl 1434.34076); translation from Funkts. Anal. Prilozh. 53, No. 3, 23--32 (2019) Full Text: DOI OpenURL
Konovenko, Nadiia; Lychagin, Valentin Projective classification of rational \(\mathbb{C}\mathbf{P}^1 \)-mappings. (English) Zbl 1433.53023 Anal. Math. Phys. 9, No. 4, 1865-1876 (2019). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53A55 PDF BibTeX XML Cite \textit{N. Konovenko} and \textit{V. Lychagin}, Anal. Math. Phys. 9, No. 4, 1865--1876 (2019; Zbl 1433.53023) Full Text: DOI OpenURL
Maurischat, Andreas Torsion group schemes as iterative differential Galois groups. (English) Zbl 1455.12006 Beitr. Algebra Geom. 60, No. 4, 627-643 (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H20 12F12 14K05 14L15 PDF BibTeX XML Cite \textit{A. Maurischat}, Beitr. Algebra Geom. 60, No. 4, 627--643 (2019; Zbl 1455.12006) Full Text: DOI arXiv OpenURL
Mizusawa, Yasushi On pro-\(p\) link groups of number fields. (English) Zbl 1456.11214 Trans. Am. Math. Soc. 372, No. 10, 7225-7254 (2019). MSC: 11R23 11R18 11R32 57M05 PDF BibTeX XML Cite \textit{Y. Mizusawa}, Trans. Am. Math. Soc. 372, No. 10, 7225--7254 (2019; Zbl 1456.11214) Full Text: DOI arXiv OpenURL
Futorny, Vyacheslav; Schwarz, João Quantum linear Galois orders. (English) Zbl 1468.17020 Commun. Algebra 47, No. 12, 5361-5369 (2019). MSC: 17B35 17B37 16W22 16S30 16S32 PDF BibTeX XML Cite \textit{V. Futorny} and \textit{J. Schwarz}, Commun. Algebra 47, No. 12, 5361--5369 (2019; Zbl 1468.17020) Full Text: DOI arXiv OpenURL
Minchenko, Andrei; Ovchinnikov, Alexey Triviality of differential Galois cohomology of linear differential algebraic groups. (English) Zbl 1442.12003 Commun. Algebra 47, No. 12, 5094-5100 (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G07 20G20 34M15 PDF BibTeX XML Cite \textit{A. Minchenko} and \textit{A. Ovchinnikov}, Commun. Algebra 47, No. 12, 5094--5100 (2019; Zbl 1442.12003) Full Text: DOI arXiv Link OpenURL
Blázquez Sanz, David; Casale, Guy; Díaz Arboleda, Juan Sebastián Differential Galois theory and isomonodromic deformations. (English) Zbl 1427.53024 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 055, 35 p. (2019). MSC: 53C05 14L30 12H05 PDF BibTeX XML Cite \textit{D. Blázquez Sanz} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 055, 35 p. (2019; Zbl 1427.53024) Full Text: DOI arXiv OpenURL
Yagasaki, Kazuyuki; Yamanaka, Shogo Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1436.37066 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J30 37J46 34C28 37C29 37J25 70K55 37M20 PDF BibTeX XML Cite \textit{K. Yagasaki} and \textit{S. Yamanaka}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019; Zbl 1436.37066) Full Text: DOI arXiv OpenURL
Jiménez, Sonia; Morales-Ruiz, Juan J.; Sánchez-Cauce, Raquel; Zurro, María-Ángeles Rational KdV potentials and differential Galois theory. (English) Zbl 07121374 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 047, 40 p. (2019). MSC: 12H05 35Q51 37K10 PDF BibTeX XML Cite \textit{S. Jiménez} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 047, 40 p. (2019; Zbl 07121374) Full Text: DOI arXiv OpenURL
Chiang, Yik-Man; Yu, Guo-Fu Galoisian approach to complex oscillation theory of some Hill equations. (English) Zbl 1409.34076 Math. Scand. 124, No. 1, 102-131 (2019). MSC: 34M03 34M10 12H05 PDF BibTeX XML Cite \textit{Y.-M. Chiang} and \textit{G.-F. Yu}, Math. Scand. 124, No. 1, 102--131 (2019; Zbl 1409.34076) Full Text: DOI arXiv OpenURL
Szumiński, Wojciech Integrability analysis of natural Hamiltonian systems in curved spaces. (English) Zbl 07265272 Commun. Nonlinear Sci. Numer. Simul. 64, 246-255 (2018). MSC: 34-XX 34Mxx 33-XX PDF BibTeX XML Cite \textit{W. Szumiński}, Commun. Nonlinear Sci. Numer. Simul. 64, 246--255 (2018; Zbl 07265272) Full Text: DOI OpenURL
Combot, Thierry; Sanabria, Camilo A symplectic Kovacic’s algorithm in dimension 4. (English) Zbl 1467.34013 Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 143-150 (2018). MSC: 34A30 12H05 68W30 PDF BibTeX XML Cite \textit{T. Combot} and \textit{C. Sanabria}, in: Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16--19, 2018. New York, NY: Association for Computing Machinery (ACM). 143--150 (2018; Zbl 1467.34013) Full Text: DOI arXiv OpenURL
Szumiński, Wojciech Integrability analysis of chaotic and hyperchaotic finance systems. (English) Zbl 1412.91240 Nonlinear Dyn. 94, No. 1, 443-459 (2018). MSC: 91G80 37N40 37J30 37D45 PDF BibTeX XML Cite \textit{W. Szumiński}, Nonlinear Dyn. 94, No. 1, 443--459 (2018; Zbl 1412.91240) Full Text: DOI OpenURL
Sabbah, Claude Riemann-Hilbert correspondence, irregular singularities and Hodge theory. (English) Zbl 1405.14026 Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-363-0/pbk). Advanced Lectures in Mathematics (ALM) 42, 315-326 (2018). MSC: 14D05 14-02 34M50 14C30 14D07 PDF BibTeX XML Cite \textit{C. Sabbah}, Adv. Lect. Math. (ALM) 42, 315--326 (2018; Zbl 1405.14026) OpenURL
Casale, Guy; Weil, Jacques-Arthur Galoisian methods for testing irreducibility of order two nonlinear differential equations. (English) Zbl 1406.34104 Pac. J. Math. 297, No. 2, 299-337 (2018). MSC: 34M15 34A05 34A26 34M03 34M25 17B45 20G05 34M55 PDF BibTeX XML Cite \textit{G. Casale} and \textit{J.-A. Weil}, Pac. J. Math. 297, No. 2, 299--337 (2018; Zbl 1406.34104) Full Text: DOI arXiv OpenURL
Acosta-Humánez, Manuel F.; Acosta-Humánez, Primitivo B.; Tuirán, Erick Generalized Lennard-Jones potentials, SUSYQM and differential Galois theory. (English) Zbl 1430.81027 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 099, 21 p. (2018). MSC: 81Q05 12H05 81V55 PDF BibTeX XML Cite \textit{M. F. Acosta-Humánez} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 099, 21 p. (2018; Zbl 1430.81027) Full Text: DOI arXiv OpenURL
Oi, Shu; Ueno, Kimio Fundamental solutions of the Knizhnik-Zamolodchikov equation of one variable and the Riemann-Hilbert problem. (English) Zbl 1416.11118 Tokyo J. Math. 41, No. 1, 1-20 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11G55 11M41 34M50 30E25 32G34 PDF BibTeX XML Cite \textit{S. Oi} and \textit{K. Ueno}, Tokyo J. Math. 41, No. 1, 1--20 (2018; Zbl 1416.11118) Full Text: DOI arXiv OpenURL
Elmandouh, A. A. On the integrability of 2D Hamiltonian systems with variable Gaussian curvature. (English) Zbl 1398.37050 Nonlinear Dyn. 93, No. 2, 933-943 (2018). MSC: 37J30 37J35 PDF BibTeX XML Cite \textit{A. A. Elmandouh}, Nonlinear Dyn. 93, No. 2, 933--943 (2018; Zbl 1398.37050) Full Text: DOI OpenURL
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of parametrically forced nonlinear oscillators. (English) Zbl 1402.37068 Regul. Chaotic Dyn. 23, No. 3, 291-303 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 37J30 34C15 70K40 PDF BibTeX XML Cite \textit{S. Motonaga} and \textit{K. Yagasaki}, Regul. Chaotic Dyn. 23, No. 3, 291--303 (2018; Zbl 1402.37068) Full Text: DOI OpenURL
Lisovyy, O.; Nagoya, H.; Roussillon, J. Irregular conformal blocks and connection formulae for Painlevé V functions. (English) Zbl 1404.33020 J. Math. Phys. 59, No. 9, 091409, 27 p. (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 58B15 14D05 17B68 34M30 34M35 34M40 34M50 34M55 34E05 35Q15 32S40 58K10 81R05 81R10 PDF BibTeX XML Cite \textit{O. Lisovyy} et al., J. Math. Phys. 59, No. 9, 091409, 27 p. (2018; Zbl 1404.33020) Full Text: DOI arXiv OpenURL
Bachmayr, Annette; Harbater, David; Hartmann, Julia Differential embedding problems over Laurent series fields. (English) Zbl 1431.12004 J. Algebra 513, 99-112 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G15 12F12 13F25 14H25 PDF BibTeX XML Cite \textit{A. Bachmayr} et al., J. Algebra 513, 99--112 (2018; Zbl 1431.12004) Full Text: DOI arXiv OpenURL
Kotlyarov, Vladimir P. A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions. (English) Zbl 1406.35381 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 082, 27 p. (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q60 34L25 34M50 35F31 35Q15 35Q51 78A60 PDF BibTeX XML Cite \textit{V. P. Kotlyarov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 082, 27 p. (2018; Zbl 1406.35381) Full Text: DOI arXiv OpenURL
Bosch, Siegfried Algebra. From the viewpoint of Galois theory. Translation and critical revision of the eighth German edition. (English) Zbl 1427.12001 Birkhäuser Advanced Texts. Basler Lehrbücher. Cham: Birkhäuser (ISBN 978-3-319-95176-8/hbk; 978-3-319-95177-5/ebook). viii, 367 p. (2018). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12-01 12Exx 12Fxx 20-01 PDF BibTeX XML Cite \textit{S. Bosch}, Algebra. From the viewpoint of Galois theory. Translation and critical revision of the eighth German edition. Cham: Birkhäuser (2018; Zbl 1427.12001) Full Text: DOI OpenURL
Orieux, M.; Caillau, J.-B.; Combot, T.; Féjoz, J. Non-integrability of the minimum-time Kepler problem. (English) Zbl 1407.70025 J. Geom. Phys. 132, 452-459 (2018). MSC: 70H07 37J30 12H05 34M45 70F07 49K15 PDF BibTeX XML Cite \textit{M. Orieux} et al., J. Geom. Phys. 132, 452--459 (2018; Zbl 1407.70025) Full Text: DOI arXiv OpenURL
Kiselev, D. D. Galois theory, the classification of finite simple groups and a dense winding of a torus. (English. Russian original) Zbl 1425.11170 Sb. Math. 209, No. 6, 840-849 (2018); translation from Mat. Sb. 209, No. 6, 65-74 (2018). MSC: 11R09 11R32 49K15 PDF BibTeX XML Cite \textit{D. D. Kiselev}, Sb. Math. 209, No. 6, 840--849 (2018; Zbl 1425.11170); translation from Mat. Sb. 209, No. 6, 65--74 (2018) Full Text: DOI OpenURL
Cafasso, Mattia; de la Iglesia, Manuel D. The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type. (English) Zbl 1396.34056 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 076, 17 p. (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M56 42C05 34M50 PDF BibTeX XML Cite \textit{M. Cafasso} and \textit{M. D. de la Iglesia}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 076, 17 p. (2018; Zbl 1396.34056) Full Text: DOI arXiv OpenURL
Guo, Boling; Liu, Nan Long-time asymptotics for the Kundu-Eckhaus equation on the half-line. (English) Zbl 1398.37061 J. Math. Phys. 59, No. 6, 061505, 19 p. (2018). Reviewer: Arsen Melikyan (Brasília) MSC: 37K10 37K15 37K40 34M50 35Q15 PDF BibTeX XML Cite \textit{B. Guo} and \textit{N. Liu}, J. Math. Phys. 59, No. 6, 061505, 19 p. (2018; Zbl 1398.37061) Full Text: DOI OpenURL
Minchenko, Andrei; Ovchinnikov, Alexey Calculating Galois groups of third-order linear differential equations with parameters. (English) Zbl 1418.12002 Commun. Contemp. Math. 20, No. 4, Article ID 1750038, 25 p. (2018). Reviewer: Thomas Dreyfus (Paris) MSC: 12H05 12H20 13N10 20G05 20H20 PDF BibTeX XML Cite \textit{A. Minchenko} and \textit{A. Ovchinnikov}, Commun. Contemp. Math. 20, No. 4, Article ID 1750038, 25 p. (2018; Zbl 1418.12002) Full Text: DOI arXiv OpenURL
Kyrion, Tobias Reconstruction of refractive indices from spectral measurements of monodisperse aerosols. (English) Zbl 1392.78011 Inverse Probl. Sci. Eng. 26, No. 3, 323-361 (2018). MSC: 78A46 78A45 45Q05 65R32 65F22 34M50 PDF BibTeX XML Cite \textit{T. Kyrion}, Inverse Probl. Sci. Eng. 26, No. 3, 323--361 (2018; Zbl 1392.78011) Full Text: DOI arXiv OpenURL
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael Differential embedding problems over complex function fields. (English) Zbl 1436.12006 Doc. Math. 23, 241-291 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G15 14H55 34M50 PDF BibTeX XML Cite \textit{A. Bachmayr} et al., Doc. Math. 23, 241--291 (2018; Zbl 1436.12006) Full Text: DOI arXiv OpenURL
Sebbar, Ahmed; Wone, Oumar Anharmonic solutions to the Riccati equation and elliptic modular functions. (English) Zbl 1435.12004 Forum Math. 30, No. 2, 433-455 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 12H20 11F03 33E05 12H05 34M15 34A26 34A34 34C14 PDF BibTeX XML Cite \textit{A. Sebbar} and \textit{O. Wone}, Forum Math. 30, No. 2, 433--455 (2018; Zbl 1435.12004) Full Text: DOI OpenURL
Bachmayr, Annette New classes of parameterized differential Galois groups. (English) Zbl 1430.12007 Math. Z. 288, No. 1-2, 361-381 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G15 34M03 34M15 34M50 PDF BibTeX XML Cite \textit{A. Bachmayr}, Math. Z. 288, No. 1--2, 361--381 (2018; Zbl 1430.12007) Full Text: DOI arXiv OpenURL
Acosta-Humánez, P.; Alvarez-Ramírez, M.; Stuchi, T. J. Nonintegrability of the Armbruster-Guckenheimer-Kim quartic Hamiltonian through Morales-Ramis theory. (English) Zbl 1384.37069 SIAM J. Appl. Dyn. Syst. 17, No. 1, 78-96 (2018). MSC: 37J30 70H06 12H05 37J35 PDF BibTeX XML Cite \textit{P. Acosta-Humánez} et al., SIAM J. Appl. Dyn. Syst. 17, No. 1, 78--96 (2018; Zbl 1384.37069) Full Text: DOI arXiv OpenURL
Combot, Thierry Integrability of the one dimensional Schrödinger equation. (English) Zbl 1387.81236 J. Math. Phys. 59, No. 2, 022105, 32 p. (2018). Reviewer: Willard Miller jun. (Minneapolis) MSC: 81R12 81Q10 34L40 34M35 34M50 PDF BibTeX XML Cite \textit{T. Combot}, J. Math. Phys. 59, No. 2, 022105, 32 p. (2018; Zbl 1387.81236) Full Text: DOI arXiv OpenURL
Acosta-Humánez, Primitivo Belén; Aya Alvarado, Norman Raúl; Machado Higuera, Maximiliano On the algebrization of differential equations. (Spanish. English summary) Zbl 07524657 Lect. Mat. 38, No. 2, 75-89 (2017). MSC: 34A05 34A34 34A12 34A40 PDF BibTeX XML Cite \textit{P. B. Acosta-Humánez} et al., Lect. Mat. 38, No. 2, 75--89 (2017; Zbl 07524657) Full Text: Link OpenURL
Combot, Thierry Higher variational equation techniques for the integrability of homogeneous potentials. (English) Zbl 1420.37046 Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 18, 365-386 (2017). MSC: 37J45 37J35 70H30 70G75 70F10 PDF BibTeX XML Cite \textit{T. Combot}, Radon Ser. Comput. Appl. Math. 18, 365--386 (2017; Zbl 1420.37046) OpenURL
Shojaei-Fard, Ali A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence. (English) Zbl 1400.68071 Quantum Stud. Math. Found. 4, No. 2, 127-148 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 68Q05 03D20 16T05 17B81 22E70 34A26 81R05 81T15 81T18 PDF BibTeX XML Cite \textit{A. Shojaei-Fard}, Quantum Stud. Math. Found. 4, No. 2, 127--148 (2017; Zbl 1400.68071) Full Text: DOI OpenURL
Yang, Shuangling; Zhou, Ran On meromorphic integrability of a virus dynamics. (Chinese. English summary) Zbl 1399.34149 J. Northeast Norm. Univ., Nat. Sci. Ed. 49, No. 3, 18-21 (2017). MSC: 34C60 92D30 12H05 PDF BibTeX XML Cite \textit{S. Yang} and \textit{R. Zhou}, J. Northeast Norm. Univ., Nat. Sci. Ed. 49, No. 3, 18--21 (2017; Zbl 1399.34149) Full Text: DOI OpenURL
Morishita, Masanori Arithmetic Milnor invariants and multiple power residue symbols in number fields: a précis. (English) Zbl 1415.11166 RIMS Kôkyûroku Bessatsu B64, 143-152 (2017). MSC: 11R32 57M05 57M25 PDF BibTeX XML Cite \textit{M. Morishita}, RIMS Kôkyûroku Bessatsu B64, 143--152 (2017; Zbl 1415.11166) OpenURL
Combot, Thierry Rational integrability of trigonometric polynomial potentials on the flat torus. (English) Zbl 1385.37073 Regul. Chaotic Dyn. 22, No. 4, 386-407 (2017). MSC: 37J35 37J30 34M50 PDF BibTeX XML Cite \textit{T. Combot}, Regul. Chaotic Dyn. 22, No. 4, 386--407 (2017; Zbl 1385.37073) Full Text: DOI arXiv OpenURL
Acosta-Humánez, Primitivo; Giraldo, Hernán; Piedrahita, Carlos Differential Galois groups and representation of quivers for seismic models with constant Hessian of square of slowness. (English) Zbl 1381.12002 Far East J. Math. Sci. (FJMS) 102, No. 3, 599-623 (2017). MSC: 12H05 16G20 34E05 34E20 35C20 35Q60 35L05 86A15 PDF BibTeX XML Cite \textit{P. Acosta-Humánez} et al., Far East J. Math. Sci. (FJMS) 102, No. 3, 599--623 (2017; Zbl 1381.12002) Full Text: DOI arXiv Link OpenURL
Seto, Tatsuki A note on Atiyah’s \(\Gamma\)-index theorem in Heisenberg calculus. (English) Zbl 1387.19007 Kodai Math. J. 40, No. 3, 577-583 (2017). Reviewer: Ralf Meyer (Göttingen) MSC: 19K56 46L87 PDF BibTeX XML Cite \textit{T. Seto}, Kodai Math. J. 40, No. 3, 577--583 (2017; Zbl 1387.19007) Full Text: DOI arXiv Euclid OpenURL