Modular-type relations associated to the Rankin-Selberg \(L\)-function

DOI10.1007/S11139-015-9759-8zbMath1422.11175OpenAlexW2515598799MaRDI QIDQ513358

Bibekananda Maji, Shigeru Kanemitsu, Kalyan Chakraborty

Publication date: 6 March 2017

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

Full work available at URL: https://doi.org/10.1007/s11139-015-9759-8

zbMATH Keywords

Lambert seriesRankin-Selberg \(L\)-functionmodular-type relation

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 (7)

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 ⋮ An asymptotic expansion of a Lambert series associated to cusp forms ⋮ ABEL-TAUBER PROCESS AND ASYMPTOTIC FORMULAS ⋮ 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

• Some identities involving convolutions of Dirichlet characters and the Möbius function
• Character analogues of Ramanujan-type integrals involving the Riemann \(\Xi \)-function
• Riesz-type criteria and theta transformation analogues
• A heat kernel associated to Ramanujan's tau function
• Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Analogues of the general theta transformation formula
• Contributions to the Theory of Zeta-Functions
• On the Holomorphy of Certain Dirichlet Series
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