Julian Rosen
Published 2017-06-20Version 1
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.
Comments: 8 pages, comments welcome
Supercongruences motivated by e
Supercongruences for sums involving $\binom ak^m$
On Sums of Powers of Arithmetic Progressions, and Generalized Stirling, Eulerian and Bernoulli numbers
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