Volume no :15, Issue no: 1, March (2016)

ON CONGRUENCES WITH THE TERMS OF SECOND ORDER SEQUENCE

Author's: Neşe Ömür and Sibel Koparal
Pages: [15] - [39]
Received Date: January 28, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121629

Abstract

In this paper, we obtain various basic congruences involving harmonic numbers and the terms of the second order sequence For example, for even t and







and for







where any prime Fermat quotient and is the Jacobi symbol.

Keywords

congruences, second order sequences, harmonic numbers.