An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect

DOI10.1007/S00025-022-01655-YzbMath1496.11116arXiv2109.11858OpenAlexW4286962576MaRDI QIDQ2134902

Sumukha Sathyanarayana, B. R. Shankar, Bibekananda Maji

Publication date: 4 May 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11858

zbMATH Keywords

Riemann zeta functionLambert seriesDirichlet \(L\)-functioncusp formsnon-trivial zeros

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

An asymptotic expansion for a Lambert series associated to the symmetric square L-function

Uses Software

• DLMF

Cites Work

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• Modular-type relations associated to the Rankin-Selberg \(L\)-function
• Lambert series and Ramanujan
• A heat kernel associated to Ramanujan's tau function
• An exact formula for a Lambert series associated to a cusp form and the Möbius function
• Asymptotic behaviour of a Lambert series à la Zagier: Maass case
• An asymptotic expansion of a Lambert series associated to cusp forms
• Problems in the Theory of Modular Forms

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