7 citations · 9 across the 6 of their papers we have counts for
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Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case
Yoshihiro Ônishi
This paper gives a natural extension of Frobenius-Stickelberger formula and Kiepert formula to Abelian functions for "Purely Trigonal Curves", especially, of degree four. A descrip…
Theory of The Generalized Bernoulli-Hurwitz Numbers for The Algebraic Functions of Cyclotomic Type and The Universal Bernoulli Numbers
Yoshihiro Ônishi
Hurwitz numbers are the Laurent coefficients of an elliptic function of cyclotomic type, and they are natural generalization of the Bernoulli numbers. This paper gives new…
Kummer's Original Type Congruence Relation for the Universal Bernoulli Numbers
Yoshihiro Ônishi
In this paper we give Kummer's original type congruence relation modulo a prime power for the universal Bernoulli numbers. Although the index of the power is half of original congr…
Theory of Generalized Bernoulli-Hurwitz Numbers in the Algebraic Functions of Cyclotomic Type
Yoshihiro Ônishi
In this paper we announce some results obtained for certain algebraic functions, which we call of cyclotomic type. The main results properly resemble von Staudt-Clausen's theorem a…
Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani)
Yoshihiro Ônishi
In this paper we give quite pretty generalization of the formula of Frobenius-Stickelberger to all hyperelliptic curves. The formula of Kiepert type is also obtained by limiting pr…
Determinant Expressions for Abelian Functions in Genus Two
Yoshihiro Ônishi
In this paper we generalize the formula of Frobenius-Stickelberger and the formula of Kiepert type to the genus-two case.