An exact formula for a Lambert series associated to a cusp form and the Möbius function

DOI10.1007/s11139-020-00375-7zbMath1496.11113OpenAlexW3126744507MaRDI QIDQ2075077

Sumukha Sathyanarayana, Abhishek Juyal, Bibekananda Maji

Publication date: 11 February 2022

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

Full work available at URL: https://doi.org/10.1007/s11139-020-00375-7

zbMATH Keywords

Riemann zeta functionLambert seriescusp formsRankin-Selberg \(L\)-functionnon-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 (5)

Riesz-type criteria for the Riemann hypothesis ⋮ An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect ⋮ Hardy-Littlewood-Riesz type equivalent criteria for the generalized Riemann hypothesis ⋮ Lambert series associated to Hilbert modular form ⋮ An asymptotic expansion for a Lambert series associated to the symmetric square L-function

Uses Software

• DLMF

Cites Work

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