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math.NT2003
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…
math.NT2003
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…