GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR

DOI10.1017/nmj.2018.38zbMath1462.11064OpenAlexW2895295259WikidataQ129150383 ScholiaQ129150383MaRDI QIDQ5116590

Rahul Kumar, Atul Dixit, Bibekananda Maji, Rajat Gupta

Publication date: 18 August 2020

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/nmj.2018.38

zbMATH Keywords

Lambert seriesRamanujan formulaRiemann's zeta functionRaabe cosine transform

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Transcendence (general theory) (11J81)

Related Items

Explicit transformations of certain Lambert series ⋮ Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications ⋮ Extended higher Herglotz functions. I: Functional equations ⋮ A new Ramanujan-type identity for \(L(2k+1, \chi_1)\) ⋮ Identities associated to a generalized divisor function and modified Bessel function ⋮ On Ramanujan's formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\) ⋮ Koshliakov zeta functions I: modular relations ⋮ Extended higher Herglotz function. II ⋮ Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values

Uses Software

• DLMF

Cites Work

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