General congruences for Bernoulli polynomials

  • Authors:
  • Zhi-Wei Sun

  • Affiliations:
  • Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2003

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Abstract

In this paper we establish some explicit congruences for Bernoulli polynomials modulo a general positive integer. In particular Voronoi's and Kummer's congruences are vastly extended.