Ramanujan's formula for odd zeta values: a proof by Mittag-Leffler expansion and applications

DOI10.1007/S40879-023-00674-5MaRDI QIDQ6051906

Michael Uhl

Publication date: 20 September 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

zeta functionMittag-Leffler expansionRamanujan's formula for odd zeta valuesfast converging series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Mittag-Leffler functions and generalizations (33E12) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• On Plouffe's Ramanujan identities
• Ramanujan’s Formula for ζ(2n + 1)
• An elementary proof of Ramanujan's identity for odd zeta values
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