7 citations · 9 across the 6 of their papers we have counts for
9 papers
The addition law attached to a stratification of a hyperelliptic Jacobian variety
Victor Z. Enolskii, Shigeki Matsutani, Yoshihiro Ônishi
This article shows explicit relation between fractional expressions of Schottky-Klein type for hyperelliptic -functions and a product of differences of the algebraic coordinates…
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…
Wave-Particle Complementarity and Reciprocity of Gauss Sums on Talbot Effects
Shigeki Matsutani, Yoshihiro Ônishi
Berry and Klein (J. Mod. Opt. (1997) 43 2139-2164) showed that the Talbot effects in classical optics are naturally explained by Gauss sums studied in number theory. Their result w…