Applications of the Lipschitz Summation Formula and a Generalization of Raabe’s Cosine Transform

Atul Dixit, Rahul Kumar

Type: Article

Publication Date: 2023-10-24

Citations: 2

DOI: https://doi.org/10.1007/s00365-023-09668-8

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Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Recent developments pertaining to Ramanujan’s formula for odd zeta values	2024	Atul Dixit
+ PDF Chat	A note on odd zeta values over any number field and extended Eisenstein series	2023	Soumyarup Banerjee Rajat Gupta Rahul Kumar

Works Cited by This (25)

Action	Title	Year	Authors
+ PDF Chat	Easy proofs of Riemann’s functional equation for $\zeta (s)$ and of Lipschitz summation	2001	Marvin I. Knopp Sinai Robins
+ PDF Chat	The asymptotic expansion of a hypergeometric function $\sb{2}F\sb{2}(1,\,\alpha ;\,\rho \sb{1},\,\rho \sb{2};\,\ z)$	1972	Shoon K. Kim
+ PDF Chat	A generalization of the Lipschitz summation formula and some applications	2001	Paul C. Pasles Wladimir de Azevedo Pribitkin
+	FUNCTIONAL EQUATIONS AND SELF-RECIPROCAL FUNCTIONS CONNECTED WITH LAMBERT SERIES	1944	A. P. Guinand
+	Theorems Stated by Ramanujan (IV) : Theorems on Approximate Integration and Summation of Series	1928	G. N. Watson
+	Laplace's Integral, the Gamma Function, and Beyond	2002	Wladimir de Azevedo Pribitkin
+	Topics in Analytic Number Theory	1973	Hans Rademacher
+	ASYMPTOTIC PARTITION FORMULAE	1931	Edward Wright
+	On an asymptotic expansion of Fourier integrals	1992	Hui–Hui Dai D. Νaylor
+	Theory of Functions of a Complex Variable.	1954	W. D. Munro W. J. Thron