Laurent series expansions of L-functions

2024/10/03 by Karmakar, Tushar, Maity, Saikat, Maji, Bibekananda
#FOS: Mathematics #Number Theory (math.NT) #Primary 11M06 #Secondary 11M41

paper · doi:10.48550/arxiv.2410.02265

Abstract

One of the main objectives of the current paper is to revisit the well known Laurent series expansions of the Riemann zeta function ζ(s), Hurwitz zeta function ζ(s,a) and Dirichlet L-function L(s,χ) at s=1. Moreover, we also present a new Laurent series expansion of L-functions associated to cusp forms over the full modular group.

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