Recurrences and Congruences for Higher order Geometric Polynomials and Related Numbers

Published 24 Oct 2019 in math.NT | (1910.13248v1)

Abstract: We obtain new recurrence relations, an explicit formula, and convolution identities for higher order geometric polynomials. These relations generalize known results for geometric polynomials, and lead to congruences for higher order geometric polynomials, particularly for p-Bernoulli numbers.

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