Congruences related to Miki's identity

Abstract

Given an odd prime p, we present three independent ways of relating modulo p certain truncated convolutions of divided Bernoulli numbers to certain full convolutions of divided Bernoulli numbers.

37 pages

References in corpus (2)

• Powers of two weighted sum of the first p divided Bernoulli numbers modulo p
• Wilson's theorem modulo p^2 derived from Faulhaber polynomials

Cited by in corpus (2)

• Multiple harmonic sums ${\mathcal{H}}_{\{s{\}}^{2l}=1;p-1}$ modulo $p^4$ and applications
• A congruence concerning a convolution involving weighted Bernoulli numbers