An asymptotic expansion of a Lambert series associated to cusp forms

DOI10.1142/S1793042118500173zbMath1428.11145OpenAlexW2682136335MaRDI QIDQ4595113

Bibekananda Maji, Shiv Datt Kumar, Abhishek Juyal, Kalyan Chakraborty

Publication date: 28 November 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042118500173

zbMATH Keywords

asymptotic expansionRankin-Selberg \(L\)-functioncusp formsymmetric square \(L\)-function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Holomorphic modular forms of integral weight (11F11)

Related Items (6)

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 number of representations of integers by quaternary quadratic forms ⋮ An exact formula for a Lambert series associated to a cusp form and the Möbius function ⋮ Lambert series associated to Hilbert modular form ⋮ An asymptotic expansion for a Lambert series associated to the symmetric square L-function

Cites Work

• 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
• On the Holomorphy of Certain Dirichlet Series
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• Unnamed Item

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