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

DOI10.1142/S1793042123500264WikidataQ114071748 ScholiaQ114071748MaRDI QIDQ5877895

Bibekananda Maji, Abhishek Juyal, Sumukha Sathyanarayana

Publication date: 16 February 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07130

zbMATH Keywords

Riemann zeta functionLambert seriesnontrivial zerosRankin-Selberg \(L\)-functionsymmetric square \(L\)-function

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)

Uses Software

• DLMF

Cites Work

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• Modular-type relations associated to the Rankin-Selberg \(L\)-function
• L-series of Rankin type and their functional equations
• 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
• An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect
• Asymptotic behaviour of a Lambert series à la Zagier: Maass case
• On the Holomorphy of Certain Dirichlet Series
• An asymptotic expansion of a Lambert series associated to cusp forms
• Lambert series associated to Hilbert modular form

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