Research PapersNo Access
Super congruences concerning Bernoulli polynomials
https://doi.org/10.1142/S1793042115501110Cited by:6 (Source: Crossref)
Abstract
Let p > 3 be a prime, and let a be a rational p-adic integer. Let {Bn(x)} denote the Bernoulli polynomials given by B0 = 1, 
and 
. In this paper, using Bernoulli polynomials we establish congruences for 
and 
. As a consequence we solve the following conjecture of Z. W. Sun:
.AMSC: 11A07, 11B68, 05A19
