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Title: Identities in the spirit of Euler
Authors: Sofo, A.
Keywords: Polylogarithm function;Recurrence relations;Euler sums;Zeta functions;Dirichlet functions;Multiple zeta values;Función polilogaritmo;Relaciones de recurrencia;Sumas de Euler;Funciones Zeta;Funciones de Dirichlet;Valores zeta múltiples
Issue Date: 2020
Publisher: Universidad de Extremadura
Abstract: In this paper we develop new identities in the spirit of Euler. We shall investigate and report on new Euler identities of weight p+2, for p an odd integer, but with a non unitary argument of the harmonic numbers. Some examples of these Euler identities will be given in terms of Riemann zeta values, Dirichlet values and other special functions.
DOI: 10.17398/2605-5686.35.1.21
Appears in Collections:Extracta Mathematicae Vol. 35, nº 1 (2020)

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