CONGRUENCES FOR TANGENT AND GENOCCHI NUMBERS

Marcelo Polezzi (Brazil)

Abstract

In this note we provide congruences for the numbers defined to be the “odd part” of the tangent numbers. As a result, we obtain congruences for Genocchi numbers whose indexes are powers of two, and also intriguing congruences for alternating power sums of natural numbers.

Keywords and phrases: tangent numbers, Genocchi numbers, congruences.