Hurwitz zeta functions and Ramanujan's identity for odd zeta values

DOI10.1016/j.jmaa.2023.127524arXiv2205.08183OpenAlexW4380792485MaRDI QIDQ6112519

Parth Chavan

Publication date: 7 August 2023

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

Full work available at URL: https://arxiv.org/abs/2205.08183

zbMATH Keywords

Hurwitz zeta functionDirichlet seriesRamanujan's formula for odd zeta values

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Trigonometric and exponential sums (general theory) (11L03) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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• Koshliakov zeta functions I: modular relations
• Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values
• Explicit transformations of certain Lambert series
• On squares of odd zeta values and analogues of Eisenstein series
• A new Ramanujan-type identity for \(L(2k+1, \chi_1)\)
• Ramanujan’s Formula for ζ(2n + 1)
• An elementary proof of Ramanujan's identity for odd zeta values
• Ramanujan's Lost Notebook

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