A class of identities associated with Dirichlet series satisfying Hecke’s functional equation

DOI10.1090/proc/16002OpenAlexW3198580701MaRDI QIDQ5869787

Rajat Gupta, Atul Dixit, Alexandru Zaharescu, Bruce C. Berndt

Publication date: 29 September 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.13991

zbMATH Keywords

functional equationsBessel functionsclassical arithmetic functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Multiplicative number theory (11N99)

Related Items (4)

Two general series identities involving modified Bessel functions and a class of arithmetical functions ⋮ On the Epstein zeta function and the zeros of a class of Dirichlet series ⋮ Certain extensions of results of Siegel, Wilton and Hardy ⋮ Identities associated to a generalized divisor function and modified Bessel function

Cites Work

• Character analogues of theorems of Ramanujan, Koshliakov and Guinand
• Hecke's functional equation and arithmetical identities
• Sums of squares and products of Bessel functions
• Some properties of modular relations
• Identities Involving the Coefficients of a Class of Dirichlet Series. III
• Generalised Dirichlet series and Hecke's functional equation
• Identities Involving the Coefficients of a Class of Dirichlet Series.
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