V. M. Buchstaber, D. V. Leikin, V. Z. Ènol'skii, “Rational Analogs of Abelian Functions”, Funktsional. Anal. i Prilozhen., 33:2 (1999), 1–15; Funct. Anal. Appl., 33:2 (1999), 83

Citation in format AMSBIB

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\paper Rational Analogs of Abelian Functions

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\jour Funct. Anal. Appl.

\yr 1999

\vol 33

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\pages 83--94

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Takanori Ayano, Victor M. Buchstaber, “Relationships Between Hyperelliptic Functions of Genus $2$ and Elliptic Functions”, SIGMA, 18 (2022), 010, 30 pp.
Yuri Fedorov, Jiyro Komeda, Shigeki Matsutani, Emma Previato, Kazuhiko Aomoto, “The sigma function over a family of curves with a singular fiber”, Isr. J. Math., 250:1 (2022), 345
Agostini D., Celik T.O., Struwe J., Sturmfels B., “Theta Surfaces”, Vietnam J. Math., 49:2 (2021), 319–347
V. M. Buchstaber, E. Yu. Bunkova, “Hyperelliptic Sigma Functions and Adler–Moser Polynomials”, Funct. Anal. Appl., 55:3 (2021), 179–197
V. M. Buchstaber, A. V. Mikhailov, “Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves”, Russian Math. Surveys, 76:4 (2021), 587–652
Yuji Kodama, Yuancheng Xie, “Space Curves and Solitons of the KP Hierarchy. I. The $l$ -th Generalized KdV Hierarchy”, SIGMA, 17 (2021), 024, 43 pp.
Nakayashiki A., “Tau Functions of (N, 1) Curves and Soliton Solutions on Nonzero Constant Backgrounds”, Lett. Math. Phys., 111:3 (2021), 85
Breiding P., Celik T.O., Duff T., Heaton A., Maraj A., Sattelberger A.-L., Venturello L., Yuruk O., “Nonlinear Algebra and Applications”, Numer. Algebr. Control Optim., 2021
T. Ayano, V. M. Buchstaber, “Analytical and number-theoretical properties of the two-dimensional sigma function”, Chebyshevskii sb., 21:1 (2020), 9–50
Bernatska J., Enolski V., Nakayashiki A., “Sato Grassmannian and Degenerate SIGMA Function”, Commun. Math. Phys., 374:2 (2020), 627–660
Buchstaber V.M. Enolski V.Z. Leykin D.V., “SIGMA-Functions: Old and New Results”, Integrable Systems and Algebraic Geometry: a Celebration of Emma Previato'S 65Th Birthday, Vol 2, London Mathematical Society Lecture Note Series, 459, ed. Donagi R. Shaska T., Cambridge Univ Press, 2020, 175–214
Bernatska J. Leykin D., “On Degenerate SIGMA-Functions in Genus 2”, Glasg. Math. J., 61:1 (2019), 169–193
Komeda J., Matsutani Sh., Previato E., “The SIGMA Function For Trigonal Cyclic Curves”, Lett. Math. Phys., 109:2 (2019), 423–447
T. Ayano, V. M. Buchstaber, “Ultraelliptic integrals and two-dimensional sigma-functions”, Funct. Anal. Appl., 53:3 (2019), 157–173
Takanori Ayano, Victor M. Buchstaber, “Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3”, SIGMA, 15 (2019), 032, 15 pp.
Nakayashiki A., “Degeneration of Trigonal Curves and Solutions of the KP-Hierarchy”, Nonlinearity, 31:8 (2018), 3567–3590
Julia Bernatska, Dmitry Leykin, “On Regularization of Second Kind Integrals”, SIGMA, 14 (2018), 074, 28 pp.