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arXiv · 1706.06618

A general family of congruences for Bernoulli numbers

Julian Rosen
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Abstract

We prove a general family of congruences for Bernoulli numbers whose index is a polynomial function of a prime, modulo a power of that prime. Our family generalizes many known results, including the von Staudt--Clausen theorem and Kummer's congruence.

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Julian Rosen. 2017-06-20. A general family of congruences for Bernoulli numbers. https://doi.org/10.1142/s1793042118501129

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