On Ramanujan's formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\)

DOI10.1016/j.jmaa.2021.125738zbMath1474.11145arXiv2106.04797OpenAlexW3205108112MaRDI QIDQ2247714

Anushree Gupta, Bibekananda Maji

Publication date: 17 November 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04797

zbMATH Keywords

Riemann zeta functionRamanujan's formulaodd zeta values

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (4)

Voronoï bound for a generalized divisor function ⋮ Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications ⋮ A new Ramanujan-type identity for \(L(2k+1, \chi_1)\) ⋮ Identities associated to a generalized divisor function and modified Bessel function

Uses Software

• DLMF

Cites Work

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• Generalized Lambert series and arithmetic nature of odd zeta values
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• Irrationality of infinitely many values of the zeta function at odd integers.

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