Voronoï type congruences and its applications

Takashi Agoh


In this paper, we will first deduce Voronoï  type congruences for Bernoulli numbers in the even suffix notation. Continuously, we will apply them to extend very important arithmetic properties (such as von Staudt-Clausen's and Kummer's congruences) of these numbers to more general situation.


Bernoulli numbers, von Staudt-Clausen's theorem, Voronoï's congruence, Kummer's congruence, irregular primes

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