Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values
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Publication:2097523
DOI10.1007/s11139-022-00624-xzbMath1498.11173arXiv2107.06457OpenAlexW3207295073MaRDI QIDQ2097523
Sarth Chavan, Tanay Wakhare, Parth Chavan, Christophe Vignat
Publication date: 14 November 2022
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.06457
Hurwitz zeta functionRiemann zeta functionDirichlet seriesBernoulli polynomialsEuler polynomialsBessel zeta functionRamanujan's identity for odd zeta values
Related Items (4)
Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications ⋮ Hurwitz zeta functions and Ramanujan's identity for odd zeta values ⋮ A new Ramanujan-type identity for \(L(2k+1, \chi_1)\) ⋮ Identities associated to a generalized divisor function and modified Bessel function
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