Two general series identities involving modified Bessel functions and a class of arithmetical functions
DOI10.4153/s0008414x22000530arXiv2204.09887OpenAlexW4303962364MaRDI QIDQ6057818
Bruce C. Berndt, Alexandru Zaharescu, Atul Dixit, Rajat Gupta
Publication date: 26 October 2023
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.09887
(zeta (s)) and (L(s, chi)) (11M06) Functional equations for real functions (39B22) Arithmetic functions; related numbers; inversion formulas (11A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Cites Work
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- Hecke's functional equation and arithmetical identities
- Sums of squares and products of Bessel functions
- On some relations which are equivalent to functional equations involving the Riemann zeta function
- Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
- Some properties of modular relations
- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook
- SOME SELF-RECIPROCAL FUNCTIONS
- SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)
- Identities Involving the Coefficients of a Class of Dirichlet Series. III
- Identities Involving the Coefficients of a Class of Dirichlet Series. V
- SOME RAPIDLY CONVERGENT SERIES FOR THE RIEMANN ξ-FUNCTION
- A class of identities associated with Dirichlet series satisfying Hecke’s functional equation
- Ramanujan's Lost Notebook
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