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arxiv: math/0304377 · v2 · submitted 2003-04-24 · 🧮 math.NT

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

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keywords numbersalgebraiccyclotomicfunctionsresultstypeannouncebernoulli
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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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