Yaskin, Vladyslav; Zawalski, Bartłomiej On separably integrable symmetric convex bodies. (English) Zbl 07823113 Adv. Math. 441, Article ID 109527, 24 p. (2024). MSC: 52A20 12D05 13A18 15A03 52A38 PDFBibTeX XMLCite \textit{V. Yaskin} and \textit{B. Zawalski}, Adv. Math. 441, Article ID 109527, 24 p. (2024; Zbl 07823113) Full Text: DOI arXiv
Yagasaki, Kazuyuki Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two. (English) Zbl 07738450 J. Differ. Equations 373, 526-563 (2023). Reviewer: Huang Kaiyin (Singapur) MSC: 37J30 37J35 37G05 12H05 PDFBibTeX XMLCite \textit{K. Yagasaki}, J. Differ. Equations 373, 526--563 (2023; Zbl 07738450) Full Text: DOI arXiv
Yagasaki, Kazuyuki Nonintegrability of the SEIR epidemic model. (English) Zbl 1519.92323 Physica D 453, Article ID 133820, 10 p. (2023). MSC: 92D30 34M15 12H05 33B20 PDFBibTeX XMLCite \textit{K. Yagasaki}, Physica D 453, Article ID 133820, 10 p. (2023; Zbl 1519.92323) Full Text: DOI arXiv
Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application. (English) Zbl 1526.37069 Sci. China, Math. 66, No. 7, 1473-1494 (2023). MSC: 37J30 32H04 34C14 34M03 34M15 34M45 12H05 12H20 PDFBibTeX XMLCite \textit{K. Huang} et al., Sci. China, Math. 66, No. 7, 1473--1494 (2023; Zbl 1526.37069) Full Text: DOI arXiv
Batkhin, A. B.; Bruno, A. D. Real normal form of a binary polynomial at a second-order critical point. (English. Russian original) Zbl 1517.12003 Comput. Math. Math. Phys. 63, No. 1, 1-13 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 3-15 (2023). MSC: 12D99 PDFBibTeX XMLCite \textit{A. B. Batkhin} and \textit{A. D. Bruno}, Comput. Math. Math. Phys. 63, No. 1, 1--13 (2023; Zbl 1517.12003); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 3--15 (2023) Full Text: DOI
Gorinov, Alexey Two-sided fundamental theorem of affine geometry. (English) Zbl 1504.51002 Arnold Math. J. 8, No. 3-4, 469-480 (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51A15 12E15 15A04 PDFBibTeX XMLCite \textit{A. Gorinov}, Arnold Math. J. 8, No. 3--4, 469--480 (2022; Zbl 1504.51002) Full Text: DOI arXiv
Kostov, Vladimir Petrov The disconnectedness of certain sets defined after uni-variate polynomials. (English) Zbl 1513.26020 Constr. Math. Anal. 5, No. 3, 119-133 (2022). MSC: 26C10 12D10 30C15 PDFBibTeX XMLCite \textit{V. P. Kostov}, Constr. Math. Anal. 5, No. 3, 119--133 (2022; Zbl 1513.26020) Full Text: DOI arXiv
Reichstein, Zinovy From Hilbert’s 13th problem to essential dimension and back. (English) Zbl 1492.14085 Eur. Math. Soc. Mag. 122, 4-15 (2021). MSC: 14L30 12F10 11E72 14E05 12-03 01A60 PDFBibTeX XMLCite \textit{Z. Reichstein}, Eur. Math. Soc. Mag. 122, 4--15 (2021; Zbl 1492.14085) Full Text: DOI
Stachowiak, Tomasz; Maciejewski, Andrzej J. Non-integrability of the Kepler and the two-body problems on the Heisenberg group. (English) Zbl 1489.37073 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 074, 12 p. (2021). Reviewer: Huang Kaiyin (Singapur) MSC: 37J30 37J35 37N05 70F05 70H07 70G45 53C17 12H20 PDFBibTeX XMLCite \textit{T. Stachowiak} and \textit{A. J. Maciejewski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 074, 12 p. (2021; Zbl 1489.37073) Full Text: DOI arXiv
Lange-Hegermann, Markus; Robertz, Daniel; Seiler, Werner M.; Seiß, Matthias Singularities of algebraic differential equations. (English) Zbl 1484.34052 Adv. Appl. Math. 131, Article ID 102266, 56 p. (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34A09 34M15 12H05 35A21 13P10 34M35 68W30 32S05 PDFBibTeX XMLCite \textit{M. Lange-Hegermann} et al., Adv. Appl. Math. 131, Article ID 102266, 56 p. (2021; Zbl 1484.34052) Full Text: DOI arXiv
Seiler, Werner M.; Seiß, Matthias; Sturm, Thomas A logic based approach to finding real singularities of implicit ordinary differential equations. (English) Zbl 1500.34015 Math. Comput. Sci. 15, No. 2, 333-352 (2021). MSC: 34A09 34A26 34C05 12H05 13P10 68W30 PDFBibTeX XMLCite \textit{W. M. Seiler} et al., Math. Comput. Sci. 15, No. 2, 333--352 (2021; Zbl 1500.34015) Full Text: DOI arXiv
Wolfson, Jesse Tschirnhaus transformations after Hilbert. (English) Zbl 1509.14055 Enseign. Math. (2) 66, No. 3-4, 489-540 (2020). MSC: 14G25 11C08 12E12 PDFBibTeX XMLCite \textit{J. Wolfson}, Enseign. Math. (2) 66, No. 3--4, 489--540 (2020; Zbl 1509.14055) Full Text: DOI arXiv
Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov Degree 5 polynomials and Descartes’ rule of signs. (English) Zbl 1462.26011 Acta Univ. M. Belii, Ser. Math. 28, 3-21 (2020). Reviewer: Armin Rainer (Wien) MSC: 26C10 12D10 PDFBibTeX XMLCite \textit{H. Cheriha} et al., Acta Univ. M. Belii, Ser. Math. 28, 3--21 (2020; Zbl 1462.26011) Full Text: arXiv Link
Gorinov, Alexey; Howard, Ralph; Johnson, Virginia; McNulty, George F. Maps that must be affine or conjugate affine: a problem of Vladimir Arnold. (English) Zbl 1451.51002 Arnold Math. J. 6, No. 2, 213-229 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51A05 12J99 PDFBibTeX XMLCite \textit{A. Gorinov} et al., Arnold Math. J. 6, No. 2, 213--229 (2020; Zbl 1451.51002) Full Text: DOI
Kazaryan, G. G.; Margaryan, V. N. On the infinite increase of a class of polynomials. (English. Russian original) Zbl 1470.35145 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 248-258 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 47-64 (2020). MSC: 35H10 12D10 PDFBibTeX XMLCite \textit{G. G. Kazaryan} and \textit{V. N. Margaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 248--258 (2020; Zbl 1470.35145); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 47--64 (2020) Full Text: DOI
Szumiński, W.; Przybylska, M. Differential Galois integrability obstructions for nonlinear three-dimensional differential systems. (English) Zbl 1431.37049 Chaos 30, No. 1, 013135, 12 p. (2020). MSC: 37J30 12H05 PDFBibTeX XMLCite \textit{W. Szumiński} and \textit{M. Przybylska}, Chaos 30, No. 1, 013135, 12 p. (2020; Zbl 1431.37049) Full Text: DOI
Sun, Jianguo Singularity properties of Killing magnetic curves in Minkowski 3-space. (English) Zbl 1421.78015 Int. J. Geom. Methods Mod. Phys. 16, No. 8, Article ID 1950123, 21 p. (2019). MSC: 78A30 53C20 12E15 51P05 53A35 53B30 14J17 PDFBibTeX XMLCite \textit{J. Sun}, Int. J. Geom. Methods Mod. Phys. 16, No. 8, Article ID 1950123, 21 p. (2019; Zbl 1421.78015) Full Text: DOI
Mezuman, Leanne; Yakovenko, Sergei Formal factorization of higher order irregular linear differential operators. (English) Zbl 1427.13033 Arnold Math. J. 4, No. 3-4, 279-299 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 13N10 16W25 34M03 34M25 13F25 14B05 12H05 12H20 14M25 14J17 32S30 PDFBibTeX XMLCite \textit{L. Mezuman} and \textit{S. Yakovenko}, Arnold Math. J. 4, No. 3--4, 279--299 (2018; Zbl 1427.13033) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Orieux} et al., J. Geom. Phys. 132, 452--459 (2018; Zbl 1407.70025) Full Text: DOI arXiv
Koiran, Pascal; Pecatte, Timothée; García-Marco, Ignacio On the linear independence of shifted powers. (English) Zbl 1414.12002 J. Complexity 45, 67-82 (2018). MSC: 12D05 26C05 34A30 65Y20 PDFBibTeX XMLCite \textit{P. Koiran} et al., J. Complexity 45, 67--82 (2018; Zbl 1414.12002) Full Text: DOI arXiv
Hyde, Trevor; Lagarias, Jeffrey C. Polynomial splitting measures and cohomology of the pure braid group. (English) Zbl 1469.11416 Arnold Math. J. 3, No. 2, 219-249 (2017). MSC: 11R09 11R32 11R34 12E20 12E25 20F36 PDFBibTeX XMLCite \textit{T. Hyde} and \textit{J. C. Lagarias}, Arnold Math. J. 3, No. 2, 219--249 (2017; Zbl 1469.11416) Full Text: DOI arXiv
Holweck, Frédéric; Luque, Jean-Gabriel; Thibon, Jean-Yves Entanglement of four-qubit systems: A geometric atlas with polynomial compass II (the tame world). (English) Zbl 1357.81028 J. Math. Phys. 58, No. 2, 022201, 33 p. (2017). MSC: 81P40 12D10 14J81 PDFBibTeX XMLCite \textit{F. Holweck} et al., J. Math. Phys. 58, No. 2, 022201, 33 p. (2017; Zbl 1357.81028) Full Text: DOI arXiv
Theobald, Thorsten; de Wolff, Timo Norms of roots of trinomials. (English) Zbl 1379.12002 Math. Ann. 366, No. 1-2, 219-247 (2016). MSC: 12D10 14H10 14H50 26C10 30C15 55R10 14D05 55P15 PDFBibTeX XMLCite \textit{T. Theobald} and \textit{T. de Wolff}, Math. Ann. 366, No. 1--2, 219--247 (2016; Zbl 1379.12002) Full Text: DOI arXiv
Kalinina, Elizabeth A. Stability and \(D\)-stability of the family of real polynomials. (English) Zbl 1277.12001 Linear Algebra Appl. 438, No. 6, 2635-2650 (2013). MSC: 12D10 12Y05 PDFBibTeX XMLCite \textit{E. A. Kalinina}, Linear Algebra Appl. 438, No. 6, 2635--2650 (2013; Zbl 1277.12001) Full Text: DOI
Aguirre-Hernández, Baltazar; Cisneros-Molina, José Luis; Frías-Armenta, Martín-Eduardo Polynomials in control theory parametrized by their roots. (English) Zbl 1277.93028 Int. J. Math. Math. Sci. 2012, Article ID 595076, 19 p. (2012). MSC: 93B25 12E05 PDFBibTeX XMLCite \textit{B. Aguirre-Hernández} et al., Int. J. Math. Math. Sci. 2012, Article ID 595076, 19 p. (2012; Zbl 1277.93028) Full Text: DOI
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. On \(p\)-adic mathematical physics. (English) Zbl 1187.81004 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1-17 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 81-02 81Q65 00A69 11S80 12J25 PDFBibTeX XMLCite \textit{B. Dragovich} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1--17 (2009; Zbl 1187.81004) Full Text: DOI arXiv
Churchill, Richard C.; Zhang, Yang Irreducibility criteria for skew polynomials. (English) Zbl 1234.16015 J. Algebra 322, No. 11, 3797-3822 (2009). MSC: 16S36 12E05 16W60 PDFBibTeX XMLCite \textit{R. C. Churchill} and \textit{Y. Zhang}, J. Algebra 322, No. 11, 3797--3822 (2009; Zbl 1234.16015) Full Text: DOI
Khovanskii, A. G. Variations on the theme of solvability by radicals. (English. Russian original) Zbl 1182.30009 Proc. Steklov Inst. Math. 259, 82-100 (2007); translation from Tr. Mat. Inst. Steklova 259, 86-105 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 30C15 12D10 12E12 30F10 12F10 14H55 PDFBibTeX XMLCite \textit{A. G. Khovanskii}, Proc. Steklov Inst. Math. 259, 82--100 (2007; Zbl 1182.30009); translation from Tr. Mat. Inst. Steklova 259, 86--105 (2007) Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria Differential Galois approach to the non-integrability of the heavy top problem. (English) Zbl 1089.70002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 14, No. 1, 123-160 (2005). MSC: 70E40 70E17 12H05 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 1, 123--160 (2005; Zbl 1089.70002) Full Text: DOI arXiv Numdam EuDML
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 PDFBibTeX XMLCite \textit{J. Sauloy}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925--968 (2003; Zbl 1053.39033) Full Text: DOI arXiv Numdam EuDML
Verschelde, Jan; Haegemans, Ann Homotopies for solving polynomial systems within a bounded domain. (English) Zbl 0811.65041 Theor. Comput. Sci. 133, No. 1, 165-185 (1994). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H10 65H20 26C10 30C15 12Y05 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{A. Haegemans}, Theor. Comput. Sci. 133, No. 1, 165--185 (1994; Zbl 0811.65041) Full Text: DOI
Fliess, Michel Invertibility of causal discrete time dynamical systems. (English) Zbl 0780.58040 J. Pure Appl. Algebra 86, No. 2, 173-179 (1993). Reviewer: A.-A.Yakubu (Washington D.C.) MSC: 37-XX 12H10 39A70 PDFBibTeX XMLCite \textit{M. Fliess}, J. Pure Appl. Algebra 86, No. 2, 173--179 (1993; Zbl 0780.58040) Full Text: DOI
Dedieu, Jean Pierre Obreschkoff’s theorem revisited: What convex sets are contained in the set of hyperbolic polynomials? (English) Zbl 0772.12002 J. Pure Appl. Algebra 81, No. 3, 269-278 (1992). Reviewer: D.W.Boyd (Vancouver) MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{J. P. Dedieu}, J. Pure Appl. Algebra 81, No. 3, 269--278 (1992; Zbl 0772.12002) Full Text: DOI
Szafraniec, Zbigniew Topological invariants of weighted homogeneous polynomials. (English) Zbl 0746.14026 Glasg. Math. J. 33, No. 3, 241-245 (1991). Reviewer: K.Drechsler (Halle-Neustadt) MSC: 14P25 14F45 54C50 12D10 PDFBibTeX XMLCite \textit{Z. Szafraniec}, Glasg. Math. J. 33, No. 3, 241--245 (1991; Zbl 0746.14026) Full Text: DOI
Arnon, Dennis S. A bibliography of quantifier elimination for real closed fields. (English) Zbl 0646.03024 J. Symb. Comput. 5, No. 1-2, 267-274 (1988). Reviewer: D.Yu.Grigor’ev MSC: 03C10 12L12 68W30 00A15 PDFBibTeX XMLCite \textit{D. S. Arnon}, J. Symb. Comput. 5, No. 1--2, 267--274 (1988; Zbl 0646.03024) Full Text: DOI