Superimposing theta structure on a generalized modular relation

DOI10.1007/s40687-021-00277-0zbMath1479.11151arXiv2005.08316OpenAlexW3177404501MaRDI QIDQ2042081

Rahul Kumar, Atul Dixit

Publication date: 28 July 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08316

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionBessel functionsmodular relationHermite's formulatheta transformation formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

Explicit transformations of certain Lambert series ⋮ Koshliakov zeta functions I: modular relations ⋮ Extended higher Herglotz function. II ⋮ Extensions of Watson’s theorem and the Ramanujan–Guinand formula

Uses Software

• DLMF

Cites Work

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