Theory of Generalized Bernoulli-Hurwitz Numbers in the Algebraic Functions of Cyclotomic Type

Details Theory of Generalized Bernoulli-Hurwitz Numbers in the Algebraic Functions of Cyclotomic Type Theory of Generalized Bernoulli-Hurwitz Numbers in the Algebraic Functions of Cyclotomic Type

2003-04-24

arxiv.org/abs/math/0304377v2

Mathematics

Number Theory

Scientific paper

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 and Kummer's congruence for the Bernoulli numbers,
and such theorems for the Hurwitz numbers.

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