Koshliakov kernel and identities involving the Riemann zeta function

DOI10.1016/J.JMAA.2015.11.007zbMath1396.11104arXiv1505.01552OpenAlexW2963954024MaRDI QIDQ898834

Arindam Roy, Nicolas Robles, Atul Dixit, Alexandru Zaharescu

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01552

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionBessel functionsKoshliakov

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hurwitz and Lerch zeta functions (11M35)

Related Items (6)

Explicit transformations of certain Lambert series ⋮ Zeros of combinations of the Riemann \(\Xi\)-function and the confluent hypergeometric function on bounded vertical shifts ⋮ A generalized modified Bessel function and a higher level analogue of the theta transformation formula ⋮ Partitions with multiplicities associated with divisor functions ⋮ Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory ⋮ Superimposing theta structure on a generalized modular relation

Uses Software

• DLMF

Cites Work

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