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arXiv · 2410.02265

Laurent series expansions of $L$-functions

Tushar Karmakar·Saikat Maity·Bibekananda Maji
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Abstract

One of the main objectives of the current paper is to revisit the well known Laurent series expansions of the Riemann zeta function $\zeta(s)$, Hurwitz zeta function $\zeta(s,a)$ and Dirichlet $L$-function $L(s,\chi)$ 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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Tushar Karmakar, Saikat Maity, Bibekananda Maji. 2024-10-03. Laurent series expansions of $L$-functions. https://arxiv.org/abs/2410.02265

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