On a Ramanujan identity and its generalizations

DOI10.1134/S0001434621090212zbMath1485.11126OpenAlexW3208558902MaRDI QIDQ2666622

A. T. Daniyarkhodzhaev, M. A. Korolev

Publication date: 23 November 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621090212

zbMATH Keywords

hyperbolic functionsRamanujan identityDirichlet character modulo 4

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Modular and automorphic functions (11F03) Other Dirichlet series and zeta functions (11M41)

Cites Work

• Modular transformations and generalizations of several formulae of Ramanujan
• Infinite series involving hyperbolic functions
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• The Summation of Series of Hyperbolic Functions
• Some series related to infinite series given by Ramanujan
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