Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan's formula for \(\zeta (2k+1)\), Weierstraß' elliptic and allied functions

DOI10.1007/s11139-024-00911-9MaRDI QIDQ6624942

Masanori Katsurada, Takumi Noda

Publication date: 28 October 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionEisenstein seriesMellin-Barnes integralRamanujan's formulaWeierstraß' elliptic function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Holomorphic modular forms of integral weight (11F11) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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Recent developments pertaining to Ramanujan's formula for odd zeta values

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