On the new identities of Dirichlet L-functions

2021/08/03 by Ma, Rong, Zhang, Jinglei, Zhang, Yulong
#11M20 #F.2.0 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2108.01540

Abstract

Let q≥3 be an integer, χ be a Dirichlet character modulo q, and L(s,χ) denote the Dirichlet L-functions corresponding to χ. In this paper, we show some special function series, and give some new identities for the Dirichlet L-functions involving Gauss sums. Specially, we give specific identities for L(2,χ).

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