Hiroe, Kazuki Index of rigidity of differential equations and Euler characteristic of their spectral curves. (English) Zbl 1458.14049 J. Geom. Phys. 162, Article ID 104060, 16 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14H20 34M35 PDF BibTeX XML Cite \textit{K. Hiroe}, J. Geom. Phys. 162, Article ID 104060, 16 p. (2021; Zbl 1458.14049) Full Text: DOI arXiv OpenURL
Ayano, Takanori; Bukhshtaber, Viktor Matveevich Analytical and number-theoretical properties of the two-dimensional sigma function. (Russian. English summary) Zbl 1455.11037 Chebyshevskiĭ Sb. 21, No. 1(73), 9-50 (2020). MSC: 11B68 14H30 14H40 33E30 33-02 PDF BibTeX XML Cite \textit{T. Ayano} and \textit{V. M. Bukhshtaber}, Chebyshevskiĭ Sb. 21, No. 1(73), 9--50 (2020; Zbl 1455.11037) Full Text: DOI arXiv MNR OpenURL
Bath, Daniel Combinatorially determined zeroes of Bernstein-Sato ideals for tame and free arrangements. (English) Zbl 1457.14039 J. Singul. 20, 165-204 (2020). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14F10 32S40 32S05 32S22 32C38 PDF BibTeX XML Cite \textit{D. Bath}, J. Singul. 20, 165--204 (2020; Zbl 1457.14039) Full Text: DOI arXiv OpenURL
Reichelt, Thomas; Walther, Uli Gauß-Manin systems of families of Laurent polynomials and \(A\)-hypergeometric systems. (English) Zbl 1441.13062 Commun. Algebra 47, No. 6, 2503-2524 (2019). MSC: 13N10 14M25 32C38 32S40 33C70 14F10 PDF BibTeX XML Cite \textit{T. Reichelt} and \textit{U. Walther}, Commun. Algebra 47, No. 6, 2503--2524 (2019; Zbl 1441.13062) Full Text: DOI arXiv OpenURL
Conway, John T. Indefinite integrals involving the Jacobi zeta and Heuman lambda functions. (English) Zbl 1398.33010 Integral Transforms Spec. Funct. 28, No. 8, 576-589 (2017). MSC: 33E05 34A30 70H03 14K25 PDF BibTeX XML Cite \textit{J. T. Conway}, Integral Transforms Spec. Funct. 28, No. 8, 576--589 (2017; Zbl 1398.33010) Full Text: DOI OpenURL
Ebeling, Wolfgang; Gusein-Zade, Sabir M. Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. (English) Zbl 1454.57020 Decker, Wolfram (ed.) et al., Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Cham: Springer. 97-108 (2017). MSC: 57R18 14L30 55M35 PDF BibTeX XML Cite \textit{W. Ebeling} and \textit{S. M. Gusein-Zade}, in: Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Cham: Springer. 97--108 (2017; Zbl 1454.57020) Full Text: DOI arXiv OpenURL
Aleshkin, Konstantin; Izosimov, Anton Euler equations on the general linear group, cubic curves, and inscribed hexagons. (English) Zbl 1365.37049 Enseign. Math. (2) 62, No. 1-2, 143-170 (2016). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J35 14H70 PDF BibTeX XML Cite \textit{K. Aleshkin} and \textit{A. Izosimov}, Enseign. Math. (2) 62, No. 1--2, 143--170 (2016; Zbl 1365.37049) Full Text: DOI arXiv OpenURL
Dragović, Vladimir; Gajić, Borislav Some recent generalizations of the classical rigid body systems. (English) Zbl 1378.70007 Arnold Math. J. 2, No. 4, 511-578 (2016). MSC: 70E40 70E17 70E45 70H06 14H70 PDF BibTeX XML Cite \textit{V. Dragović} and \textit{B. Gajić}, Arnold Math. J. 2, No. 4, 511--578 (2016; Zbl 1378.70007) Full Text: DOI OpenURL
Levin, A.; Olshanetsky, M.; Zotov, A. Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. (English) Zbl 1355.37075 J. Phys. A, Math. Theor. 49, No. 39, Article ID 395202, 24 p. (2016). MSC: 37J35 14H70 81R12 16T25 34M55 PDF BibTeX XML Cite \textit{A. Levin} et al., J. Phys. A, Math. Theor. 49, No. 39, Article ID 395202, 24 p. (2016; Zbl 1355.37075) Full Text: DOI arXiv OpenURL
Matsutani, Shigeki; Previato, Emma From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials. (English) Zbl 1398.37065 J. Math. Phys. 57, No. 8, 081519, 12 p. (2016). MSC: 37K10 35Q53 37K20 14D21 74C05 11B83 PDF BibTeX XML Cite \textit{S. Matsutani} and \textit{E. Previato}, J. Math. Phys. 57, No. 8, 081519, 12 p. (2016; Zbl 1398.37065) Full Text: DOI arXiv OpenURL
Kirillov, Anatol N. On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials. (English) Zbl 1348.05213 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 002, 172 p. (2016). MSC: 05E15 14N15 16T25 53D45 PDF BibTeX XML Cite \textit{A. N. Kirillov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 002, 172 p. (2016; Zbl 1348.05213) Full Text: DOI arXiv EMIS OpenURL
Tanabé, Susumu; Ueda, Kazushi Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces. (English) Zbl 1295.14036 Commun. Number Theory Phys. 7, No. 2, 327-359 (2013). Reviewer: Noriko Yui (Kingston) MSC: 14J32 PDF BibTeX XML Cite \textit{S. Tanabé} and \textit{K. Ueda}, Commun. Number Theory Phys. 7, No. 2, 327--359 (2013; Zbl 1295.14036) Full Text: DOI arXiv OpenURL
Schulze, Mathias; Walther, Uli Resonance equals reducibility for \(A\)-hypergeometric systems. (English) Zbl 1251.13023 Algebra Number Theory 6, No. 3, 527-537 (2012). Reviewer: Rémi Arcadias (Sevilla) MSC: 13N10 33C70 32S40 14M25 PDF BibTeX XML Cite \textit{M. Schulze} and \textit{U. Walther}, Algebra Number Theory 6, No. 3, 527--537 (2012; Zbl 1251.13023) Full Text: DOI arXiv Link OpenURL
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. Efficient path tracking methods. (English) Zbl 1230.65059 Numer. Algorithms 58, No. 4, 451-459 (2011). MSC: 65H20 14Q15 65L06 65H04 PDF BibTeX XML Cite \textit{D. J. Bates} et al., Numer. Algorithms 58, No. 4, 451--459 (2011; Zbl 1230.65059) Full Text: DOI OpenURL
Yajima, Takahiro; Nagahama, Hiroyuki Tangent bundle viewpoint of the Lorenz system and its chaotic behavior. (English) Zbl 1236.34066 Phys. Lett., A 374, No. 11-12, 1315-1319 (2010). MSC: 34C28 34C14 14D21 14L24 58A30 58J52 55R40 PDF BibTeX XML Cite \textit{T. Yajima} and \textit{H. Nagahama}, Phys. Lett., A 374, No. 11--12, 1315--1319 (2010; Zbl 1236.34066) Full Text: DOI OpenURL
MacLeod, Allan J. Integer triangles with \(R/r = N\). (English) Zbl 1209.51009 Forum Geom. 10, 149-155 (2010). Reviewer: Mowaffaq Hajja (Irbid) MSC: 51M04 11A99 11D25 14H52 14G05 51M16 PDF BibTeX XML Cite \textit{A. J. MacLeod}, Forum Geom. 10, 149--155 (2010; Zbl 1209.51009) Full Text: arXiv Link OpenURL
Bourqui, David Motivic Euler product and rational curves on toric varieties. (Produit eulérien motivique et courbes rationnelles sur les variétés toriques.) (French) Zbl 1226.14034 Compos. Math. 145, No. 6, 1360-1400 (2009). Reviewer: B. Z. Moroz (Bonn) MSC: 14G10 11G50 14M25 14C15 11D45 PDF BibTeX XML Cite \textit{D. Bourqui}, Compos. Math. 145, No. 6, 1360--1400 (2009; Zbl 1226.14034) Full Text: DOI arXiv OpenURL
Falqui, Gregorio A note on the rotationally symmetric SO(4) Euler rigid body. (English) Zbl 1135.37026 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 032, 13 p. (2007). MSC: 37K10 70H20 14H70 PDF BibTeX XML Cite \textit{G. Falqui}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 032, 13 p. (2007; Zbl 1135.37026) Full Text: DOI arXiv EuDML EMIS OpenURL
Calini, A.; Ivey, T. Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions. (English) Zbl 1106.35092 J. Nonlinear Sci. 15, No. 5, 321-361 (2005). MSC: 35Q55 37K20 76B47 14H70 PDF BibTeX XML Cite \textit{A. Calini} and \textit{T. Ivey}, J. Nonlinear Sci. 15, No. 5, 321--361 (2005; Zbl 1106.35092) Full Text: DOI Link OpenURL
Blais, F.; Moussu, R.; Rolin, J.-P. Non-oscillating integral curves and o-minimal structures. (English) Zbl 1075.03018 Costin, O. (ed.) et al., Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3419-3/pbk). Contemporary Mathematics 373, 103-112 (2005). Reviewer: Richard A. Mollin (Calgary) MSC: 03C64 14P15 26A12 34M15 PDF BibTeX XML Cite \textit{F. Blais} et al., Contemp. Math. 373, 103--112 (2005; Zbl 1075.03018) OpenURL
Hydon, Peter E.; Mansfield, Elizabeth L. A variational complex for difference equations. (English) Zbl 1057.39013 Found. Comput. Math. 4, No. 2, 187-217 (2004). Reviewer: Wan-Tong Li (Lanzhou) MSC: 39A12 14F43 58A10 PDF BibTeX XML Cite \textit{P. E. Hydon} and \textit{E. L. Mansfield}, Found. Comput. Math. 4, No. 2, 187--217 (2004; Zbl 1057.39013) Full Text: DOI OpenURL
Crowdy, Darren Multipolar vortices and algebraic curves. (English) Zbl 1058.76019 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2014, 2337-2359 (2001). MSC: 76B47 14H81 PDF BibTeX XML Cite \textit{D. Crowdy}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2014, 2337--2359 (2001; Zbl 1058.76019) Full Text: DOI OpenURL
McKean, Henry; Moll, Victor Elliptic curves. Function theory, geometry, arithmetic. (English) Zbl 0895.11002 Cambridge: Cambridge University Press. xiii, 280 p. (1997). Reviewer: Werner Kleinert (Berlin) MSC: 11-02 11G05 14H52 33E05 11-01 14-01 11R11 11R29 12E12 11F46 11F06 14-02 PDF BibTeX XML Cite \textit{H. McKean} and \textit{V. Moll}, Elliptic curves. Function theory, geometry, arithmetic. Cambridge: Cambridge University Press (1997; Zbl 0895.11002) OpenURL
Ono, Ken Euler’s concordant forms. (English) Zbl 0863.11038 Acta Arith. 78, No. 2, 101-123 (1996). Reviewer: K.Ono (Princeton / NJ) MSC: 11G05 11D09 14H52 PDF BibTeX XML Full Text: DOI EuDML OpenURL
Taylor, Richard; Wiles, Andrew Ring-theoretic properties of certain Hecke algebras. (English) Zbl 0823.11030 Ann. Math. (2) 141, No. 3, 553-572 (1995). Reviewer: G.Faltings (Bonn) MSC: 11G05 11F11 11D41 13C40 14M10 14H52 PDF BibTeX XML Cite \textit{R. Taylor} and \textit{A. Wiles}, Ann. Math. (2) 141, No. 3, 553--572 (1995; Zbl 0823.11030) Full Text: DOI Link OpenURL
Piovan, Luis A. Canonical system on elliptic curves. (English) Zbl 0799.58036 Proc. Am. Math. Soc. 119, No. 4, 1323-1329 (1993). Reviewer: E.D.Belokolos (Kiev) MSC: 37J35 37K10 14H52 PDF BibTeX XML Cite \textit{L. A. Piovan}, Proc. Am. Math. Soc. 119, No. 4, 1323--1329 (1993; Zbl 0799.58036) Full Text: DOI OpenURL
Hironaka, Yumiko; Sato, Fumihiro Eisenstein series on reductive symmetric spaces and representations of Hecke algebras. (English) Zbl 0789.11031 J. Reine Angew. Math. 445, 45-108 (1993). Reviewer: F.Sato (Tokyo) MSC: 11F55 11F66 43A85 22E55 14M17 PDF BibTeX XML Cite \textit{Y. Hironaka} and \textit{F. Sato}, J. Reine Angew. Math. 445, 45--108 (1993; Zbl 0789.11031) Full Text: Crelle EuDML OpenURL
Berg, Michael C. On a generalization of Hecke \(\vartheta\)-functions and the analytic proof of higher reciprocity laws. (English) Zbl 0782.11032 J. Number Theory 44, No. 1, 66-83 (1993). Reviewer: J.A.Antoniadis (Iraklion) MSC: 11R37 14K25 PDF BibTeX XML Cite \textit{M. C. Berg}, J. Number Theory 44, No. 1, 66--83 (1993; Zbl 0782.11032) Full Text: DOI OpenURL
Kurokawa, Nobushige Analyticity of Dirichlet series over prime powers. (English) Zbl 0707.11063 Analytic number theory, Proc. Jap.-Fr. Symp., Tokyo/Jap. 1988, Lect. Notes Math. 1434, 168-177 (1990). Reviewer: B. Z. Moroz MSC: 11M41 11F66 14G10 81T30 81V25 PDF BibTeX XML OpenURL
Schinzel, Andrzej Development of number theory in the years 1978 - 1988. (Polish) Zbl 0747.11002 Rocz. Pol. Tow. Mat., Ser. II, Wiadom. Mat. 29, No. 1, 3-10 (1990). Reviewer: J.Kaczorowski (Poznań) MSC: 11-02 11D25 11J06 11N05 11R27 11G05 14G05 PDF BibTeX XML Cite \textit{A. Schinzel}, Rocz. Pol. Tow. Mat., Ser. II, Wiad. Mat. 29, No. 1, 3--10 (1990; Zbl 0747.11002) OpenURL
Agrachev, A. A.; Gamkrelidze, R. V. Computation of the Euler characteristic of intersections of real quadrics. (English. Russian original) Zbl 0721.55001 Sov. Math., Dokl. 37, No. 2, 297-300 (1988); translation from Dokl. Akad. Nauk SSSR 299, No. 1, 11-14 (1988). MSC: 55M99 14F45 PDF BibTeX XML Cite \textit{A. A. Agrachev} and \textit{R. V. Gamkrelidze}, Sov. Math., Dokl. 37, No. 2, 297--300 (1988; Zbl 0721.55001); translation from Dokl. Akad. Nauk SSSR 299, No. 1, 11--14 (1988) OpenURL
Buium, Alexandru Differential function fields and moduli of algebraic varieties. (English) Zbl 0613.12018 Lecture Notes in Mathematics, 1226. Berlin etc.: Springer-Verlag. IX, 146 p. DM 28.50 (1986). Reviewer: K.Kiyek MSC: 12H05 14H05 14D20 12H20 70H05 37J99 14-02 12-02 PDF BibTeX XML OpenURL
Holzapfel, Rolf-Peter Basic two-dimensional versions of Hurwitz genus formula. (English) Zbl 0609.14022 Ann. Global Anal. Geom. 4, No. 1, 1-70 (1986). MSC: 14J25 14F45 14L30 14M17 14J50 PDF BibTeX XML Cite \textit{R.-P. Holzapfel}, Ann. Global Anal. Geom. 4, No. 1, 1--70 (1986; Zbl 0609.14022) Full Text: DOI OpenURL
Holzapfel, R.-P. Geometry and arithmetic. Around Euler partial differential equations. (English) Zbl 0595.14017 Mathematische Monographien, Bd. 20. Berlin: VEB Deutscher Verlag der Wissenschaften. 184 p. (1986). Reviewer: T.Höfer MSC: 14H15 33C05 14-02 14K20 30-02 11F27 30F35 32N05 11-02 PDF BibTeX XML OpenURL
Moroz, B. Z. Analytic arithmetic in algebraic number fields. (English) Zbl 0595.12005 Lecture Notes in Mathematics. 1205. Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn, Vol. 7. Berlin etc.: Springer-Verlag. VII, 177 p. DM 28.50 (1986). Reviewer: J.Hinz MSC: 11R42 11R45 14G05 12-02 11R39 11D57 PDF BibTeX XML Full Text: DOI OpenURL
Haine, Luc The algebraic complete integrability of geodesic flow on SO(N). (English) Zbl 0584.58023 Commun. Math. Phys. 94, 281-287 (1984). Reviewer: S.Goodman MSC: 37J35 37K10 14H40 14K99 37D40 53D25 PDF BibTeX XML Cite \textit{L. Haine}, Commun. Math. Phys. 94, 281--287 (1984; Zbl 0584.58023) Full Text: DOI OpenURL
Griffiths, Phillip Linearizing flows and a cohomology interpretation of Lax equations. (English) Zbl 0584.58020 Seminar on nonlinear partial differential equations, Publ., Math. Sci. Res. Inst. 2, 37-46 (1984). Reviewer: S.V.Duzhin MSC: 37J35 37K10 14H40 34C20 14F05 PDF BibTeX XML OpenURL
Ramis, Jean-Pierre Théorèmes d’indices Gevrey pour les équations différentielles ordinaires. (French) Zbl 0555.47020 Mem. Am. Math. Soc. 296, 95 p. (1984). Reviewer: P.Metzger MSC: 47B37 47E05 46F15 34M99 14F20 47-02 47L07 47L50 46F10 30B20 30D10 30D20 30F35 32A27 32A45 34A25 34A30 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Théorèmes d'indices Gevrey pour les équations différentielles ordinaires. Providence, RI: American Mathematical Society (AMS) (1984; Zbl 0555.47020) Full Text: DOI OpenURL
Kuiper, Nicolaas H. Polynomial equations for tight surfaces. (English) Zbl 0534.53050 Geom. Dedicata 15, 107-113 (1983). Reviewer: W.Kühnel MSC: 53C42 14J25 PDF BibTeX XML Cite \textit{N. H. Kuiper}, Geom. Dedicata 15, 107--113 (1983; Zbl 0534.53050) Full Text: DOI OpenURL
Verdier, Jean-Louis Algèbres de Lie, systèmes hamiltoniens, courbes algébriques (d’apres M. Adler et P. van Moerbeke). (French) Zbl 0524.58014 Mathematique et physique, Semin. Ec. Norm. Super., Paris 1979-1982, Prog. Math. 37, 237-246 (1983). MSC: 37J99 14H40 17B65 22E65 22E70 70H99 PDF BibTeX XML OpenURL
Holzapfel, Rolf-Peter Euler-Vorlesung 1982: Zweidimensionale periodische Funktionentheorie der Kugel. (German) Zbl 0509.14046 Prepr., Akad. Wiss. DDR, Inst. Math. P-MATH-12/83, 24 S. (1983). MSC: 14J35 14M17 01A50 00A05 14H15 11F27 PDF BibTeX XML OpenURL
Dieudonné, Jean Éléments d’analyse. Tome IX. Chapitre XXIV. (French) Zbl 0485.58001 Cahiers Scientifiques, Fasc. XLII. Publie avec le concours du C. N. R. S. Paris: Gauthier-Villars. XVIII, 380 p. FF 320.00 (1982). MSC: 58-01 55-01 58A12 55Rxx 58A14 58A10 20G10 17B56 57Q05 55N10 53C05 14F40 14H05 58J10 58J20 PDF BibTeX XML OpenURL
Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. (French) Zbl 0492.58021 C. R. Acad. Sci., Paris, Sér. I 293, 573-576 (1981). MSC: 58J20 35A30 32C36 14C40 32S05 32Sxx PDF BibTeX XML Cite \textit{J.-L. Brylinski} et al., C. R. Acad. Sci., Paris, Sér. I 293, 573--576 (1981; Zbl 0492.58021) OpenURL
Verdier, Jean-Louis Algèbres de Lie, systèmes hamiltoniens, courbes algébriques (d’apres M. Adler et P. van Moerbeke). (French) Zbl 0492.58014 Semin. Bourbaki, 33e annee, Vol. 1980/81, Exp. 566, Lect. Notes Math. 901, 85-94 (1981). MSC: 37J99 17B65 14H40 70H99 22E65 22E70 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Bashmakova, Isabella G. Arithmetic of algebraic curves from Diophantus to Poincaré. (English) Zbl 0471.01003 Hist. Math. 8, 393-416 (1981). MSC: 01A05 11-03 14-03 11D25 01A20 01A55 01A45 51-03 PDF BibTeX XML Cite \textit{I. G. Bashmakova}, Hist. Math. 8, 393--416 (1981; Zbl 0471.01003) Full Text: DOI OpenURL