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World Scientific Publishing, International Journal of Number Theory, p. 1-13

DOI: 10.1142/s1793042116500779

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Supercongruences involving Bernoulli polynomials

Journal article published in 2015 by Zhi-Hong Sun
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

Let [Formula: see text] be a prime, and let [Formula: see text] be a rational [Formula: see text]-adic integer. Let [Formula: see text] and [Formula: see text] denote the Bernoulli numbers and Bernoulli polynomials given by [Formula: see text] and [Formula: see text]. In this paper, we show that [Formula: see text] [Formula: see text] [Formula: see text] where [Formula: see text] and [Formula: see text] is given by [Formula: see text].