SU\G(𝔸)/K·U

Yoshihiro Ônishi

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All published works
Action Title Year Authors
+ Arithmetic over the Gaussian Number Field on a Certain Family of Elliptic Curves with Complex Multiplication 2021 Yoshihiro Ônishi
Fumio Sairaiji
+ Arithmetic over the Gaussian Number Field on a Certain Family of Elliptic Curves with Complex Multiplication 2021 Yoshihiro Ônishi
Fumio Sairaiji
+ Recursion Relations on the Power Series Expansion of the Universal Weierstrass Sigma Function (Mathematical structures of integrable systems and their applications) 2020 J. C. Eilbeck
Yoshihiro Ônishi
+ Arithmetical Power Series Expansion of the Sigma Function for a Plane Curve 2018 Yoshihiro Ônishi
+ Hurwitz integrality of power series expansion of the sigma function for a plane curve 2015 Yoshihiro Ônishi
+ PDF Chat Some new addition formulae for Weierstrass elliptic functions 2014 J. C. Eilbeck
Matthew England
Yoshihiro Ônishi
+ Relationship between the prime form and the sigma function for some cyclic (<i>r</i>,<i>s</i>) curves 2013 John Gibbons
Shigeki Matsutani
Yoshihiro Ônishi
+ Determinant Formulae in Abelian Functions for a General Trigonal Curve of Degree Five 2012 Yoshihiro Ônishi
+ Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers 2011 Yoshihiro Ônishi
+ Universal elliptic functions 2010 Yoshihiro Ônishi
+ PDF Chat Congruence Relations Connecting Tate-Shafarevich Groups with Hurwitz Numbers 2010 Yoshihiro Ônishi
+ PDF Chat ABELIAN FUNCTIONS FOR TRIGONAL CURVES OF DEGREE FOUR AND DETERMINANTAL FORMULAE IN PURELY TRIGONAL CASE 2009 Yoshihiro Ônishi
+ PDF Chat The Addition Law Attached to a Stratification of a Hyperelliptic Jacobian Variety 2008 V. Z. Enolski
Shigeki Matsutani
Yoshihiro Ônishi
+ PDF Chat DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS 2005 Yoshihiro Ônishi
+ Determinant Expressions in Abelian Functions for Purely Trigonal Curves of Degree Four 2005 Yoshihiro Ônishi
+ The addition law attached to a stratification of a hyperelliptic Jacobian variety 2005 V. Z. Enolski
Shigeki Matsutani
Yoshihiro Ônishi
+ Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case 2005 Yoshihiro Ônishi
+ PDF Chat Determinantal Expressions for Hyperelliptic Functions in Genus Three 2004 Yoshihiro Ônishi
+ Theory of The Generalized Bernoulli-Hurwitz Numbers for The Algebraic Functions of Cyclotomic Type and The Universal Bernoulli Numbers 2004 Yoshihiro Ônishi
+ On the Moduli of a Quantized Elastica in ℙ and <font>KdV</font> Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I 2003 Shigeki Matsutani
Yoshihiro Ônishi
+ Kummer's Original Type Congruence Relation for the Universal Bernoulli Numbers 2003 Yoshihiro Ônishi
+ Theory of Generalized Bernoulli-Hurwitz Numbers in the Algebraic Functions of Cyclotomic Type 2003 Yoshihiro Ônishi
+ PDF Chat Determinant expressions for abelian functions in genus two 2002 Yoshihiro Ônishi
+ Wave-Particle Complementarity and Reciprocity of Gauss Sums on Talbot Effects 2002 Shigeki Matsutani
Yoshihiro Ônishi
+ Determinant expressions for abelian functions in genus two 2002 Yoshihiro Ônishi
+ Determinant Expression for Hyperelliptic Functions 2001 Shigeki Matsutani
Yoshihiro Ônishi
+ Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani) 2001 Yoshihiro Ônishi
+ Determinant Expressions for Hyperelliptic Functions in Genus Three 2001 Yoshihiro Ônishi
+ Determinant Expressions for Abelian Functions in Genus Two 2001 Yoshihiro Ônishi
+ PDF Chat Complex Multiplication Formulae for Hyperelliptic Curves of Genus Three 1998 Yoshihiro Ônishi
+ On the Moduli of a quantized loop in P and KdV flows: Study of hyperelliptic curves as an extension of Euler's perspective of elastica I 1998 Shigeki Matsutani
Yoshihiro Ônishi
+ The existence of certain infinite families of imaginary quadratic fields. 1988 Kuniaki Horie
Yoshihiro Ônishi
Common Coauthors
Coauthor Papers Together
Shigeki Matsutani 7
J. C. Eilbeck 2
V. Z. Enolskiĭ 2
Fumio Sairaiji 2
Matthew England 1
Kuniaki Horie 1
John Gibbons 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ On the Hyperelliptic Sigma Functions 1898 H. F. Baker
 9
+ PDF Chat On a system of differential equations leading to periodic functions 1903 H. F. Baker
 9
+ PDF Chat Theta Functions on Riemann Surfaces 1973 John D. Fay
 8
+ Zur Theorie der elliptischen Functionen. 1877 G. Frobenius
L. Stickelberger
 6
+ PDF Chat Complex Multiplication Formulae for Hyperelliptic Curves of Genus Three 1998 Yoshihiro Ônishi
 6
+ A Generalization of a Formula of Eisenstein 1991 David Grant
 6
+ On the analogue of the division polynomials for hyperelliptic curves. 1994 David G. Cantor
 6
+ PDF Chat DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS 2005 Yoshihiro Ônishi
 5
+ PDF Chat Geometry of Algebraic Curves 1985 Enrico Arbarello
Maurizio Cornalba
P. A. Griffiths
Joseph Harris
 4
+ Hyperelliptic reduction of the Benney moment equations 2003 Sadie Baldwin
John Gibbons
 4
+ PDF Chat Sigma Function as A Tau Function 2009 Atsushi Nakayashiki
 4
+ Kleinian functions, hyperelliptic Jacobians and applications 1997 Victor Matveevich Buchstaber
V. Z. Enolski
Дмитрий Викторович Лейкин
 4
+ Gauss sums and elliptic functions 1979 Christopher R. Matthews
 4
+ Introduction to Algebraic and Abelian Functions 1982 Serge Lang
 4
+ PDF Chat On Algebraic Expressions of Sigma Functions for (n, s) Curves 2010 Atsushi Nakayashiki
 4
+ Higher genus hyperelliptic reductions of the Benney equations 2004 Sadie Baldwin
John Gibbons
 3
+ Universal Higher Order Bernoulli Numbers and Kummer and Related Congruences 2000 Arnold Adelberg
 3
+ PDF Chat On the theory of commutative formal groups 1970 Taira Honda
 3
+ The p-adic sigma function 1991 Barry Mazur
John Tate
 3
+ PDF Chat The universal von Staudt theorems 1989 Francis Clarke
 3
+ PDF Chat Determinantal Expressions for Hyperelliptic Functions in Genus Three 2004 Yoshihiro Ônishi
 3
+ PDF Chat Loop groups and equations of KdV type 1985 Graeme Segal
George Wilson
 3
+ PDF Chat Double Pendulum and θ -Divisor 2003 V. Z. Enolski
Pronine
Erik A. Richter
 3
+ Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani) 2001 Yoshihiro Ônishi
 3
+ Universal Kummer congruences mod prime powers 2004 Arnold Adelberg
 3
+ Gauss sums and elliptic functions: II. The quartic sum 1979 Christopher R. Matthews
 3
+ PDF Chat On density of state of quantized Willmore surface - a way to a quantized extrinsic string in 1998 Shigeki Matsutani
 2
+ Elliptic Gauss Sums and Hecke L-values at s=1 2007 Tetsuya Asai
 2
+ The Conjecture of Birch and Swinnerton-Dyer 2016 J. Coates
Andrew Wiles
 2
+ An Introduction To The Theory Of Multiply Periodic Functions 2007 H. F. Baker
 2
+ PDF Chat Cohomological structure in soliton equations and Jacobian varieties 1984 Motohico Mulase
 2
+ Determinant Formulae in Abelian Functions for a General Trigonal Curve of Degree Five 2012 Yoshihiro Ônishi
 2
+ PDF Chat A COURSE IN MODERN ANALYSIS. 1903 Arthur S. Hathaway
 2
+ PDF Chat The Arithmetic of Elliptic Curves 1986 Joseph H. Silverman
 2
+ PDF Chat Genus 4 trigonal reduction of the Benney equations 2006 Sadie Baldwin
John Gibbons
 2
+ Integrable systems and symmetric products of curves 1998 Pol Vanhaecke
 2
+ PDF Chat Wirkliche Ausführung der ganzzahligen Multiplication der elliptischen Functionen. 1873 L. Kiepert
 2
+ PDF Chat Orientation and string structures on loop space 1992 D. A. McLaughlin
 2
+ Loop Spaces, Characteristic Classes and Geometric Quantization 1993 Jean-Luc Brylinski
 2
+ PDF Chat Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker's study on hyperelliptic sigma functions 2001 Shigeki Matsutani
 2
+ PDF Chat Determinant expressions for abelian functions in genus two 2002 Yoshihiro Ônishi
 2
+ Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold 1983 Mikio Sato
 2
+ Rational analogs of abelian functions 1999 Victor Matveevich Buchstaber
V. Z. Enolski
D. V. Leykin
 2
+ Dirac Operator of a Conformal Surface Immersed in R^4: Further Generalized Weierstrass Relation 1998 Shigeki Matsutani
 2
+ PDF Chat Jacobi inversion on strata of the Jacobian of the C rs curve y r =f(x) 2008 Shigeki Matsutani
Эмма Превиато
 2
+ Induced Surfaces and Their Integrable Dynamics 1996 B. G. Konopelchenko
 2
+ PDF Chat Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces 1999 B. G. Konopelchenko
G. Landofli
 2
+ Universal elliptic functions 2010 Yoshihiro Ônishi
 2
+ A Classical Introduction to Modern Number Theory 1982 Kenneth Ireland
Michael Rosen
 2
+ Number Theory: An approach through history from Hammurapi to Legendre 1984 André Weil
 2