Affiliation:
1. School of Mathematical Sciences, Huaiyin Normal University, Huaian, Jiangsu 223001, P. R. China
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, [Formula: see text] and [Formula: see text]. In this paper, using Bernoulli polynomials we establish congruences for [Formula: see text] and [Formula: see text]. As a consequence we solve the following conjecture of Z. W. Sun: [Formula: see text] where [Formula: see text].
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
6 articles.
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1. Supercongruences involving products of three binomial coefficients;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-06-13
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3. Proof of some conjectural congruences involving Domb numbers and binary quadratic forms;Journal of Mathematical Analysis and Applications;2022-12
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5. TWO SUPERCONGRUENCES RELATED TO MULTIPLE HARMONIC SUMS;Bulletin of the Australian Mathematical Society;2021-01-28