An elementary proof of Ramanujan's identity for odd zeta values

DOI10.7153/jca-2021-19-11zbMath1499.11263arXiv2104.13223OpenAlexW4293127332MaRDI QIDQ5078355

Sarth Chavan

Publication date: 23 May 2022

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13223

zbMATH Keywords

Riemann zeta functionRamanujan's identity for odd zeta values

Mathematics Subject Classification ID

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

Related Items (3)

Ramanujan's formula for odd zeta values: a proof by Mittag-Leffler expansion and applications ⋮ Hurwitz zeta functions and Ramanujan's identity for odd zeta values ⋮ Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a secant Dirichlet series and Eichler integrals of Eisenstein series
• Hankel determinants of zeta values
• Modular transformations and generalizations of several formulae of Ramanujan
• A note on odd zeta values
• Irrationality proofs for zeta values, moduli spaces and dinner parties
• Transcendental values of certain Eichler integrals
• A Note on the Irrationality of ζ(2) and ζ(3)
• On some applications of formulae of Ramanujan in the analysis of algorithms
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
• Ramanujan’s Formula for ζ(2n + 1)
• Comments on some formulae of Ramanujan
• On the values of the Epstein zeta function
• Another Elementary Proof of Euler's Formula for ζ(2n)
• Some Infinite Series
• Ramanujan's Lost Notebook
• Irrationality of infinitely many values of the zeta function at odd integers.

This page was built for publication: An elementary proof of Ramanujan's identity for odd zeta values