An extension of the identity by Sury and related congruences

Authors

  • Romeo Mestrovic

Keywords:

combinatorial identity by Sury, harmonic number, Fermat quotient, Carlitz’s congruence

Abstract

In this paper we give an extension of a curious combinatorial identity due to B. Sury. Our proof is very simple and elementary. As an application, we obtain two congruences for Fermat quotient modulo p3. Moreover, we prove an extension of a result by H. Pan that generalized the Carlitz’s congruence. DOI: 10.1017/S0004972711002826

Published

2012-04-22

Issue

Section

Articles