Asymptotic behaviour of a Lambert series à la Zagier: Maass case

DOI10.1007/S11139-018-0007-XzbMath1441.11195OpenAlexW2803842609MaRDI QIDQ2422053

Soumyarup Banerjee, Kalyan Chakraborty

Publication date: 18 June 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-018-0007-x

zbMATH Keywords

asymptotic expansionRankin-Selberg \(L\)-functionsymmetric square \(L\)-functionMaass cusp form

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Fourier coefficients of automorphic forms (11F30) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (4)

An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect ⋮ 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
• A heat kernel associated to Ramanujan's tau function
• An asymptotic expansion of a Lambert series associated to cusp forms
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