Sums of squares and products of Bessel functions

Bruce C. Berndt, Atul Dixit, Sun Kim, Alexandru Zaharescu

Type: Article

Publication Date: 2018-09-10

Citations: 10

DOI: https://doi.org/10.1016/j.aim.2018.09.001

View Publication

Download PDF

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Sums of squares and products of Bessel functions	2017	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	Sums of squares and products of Bessel functions	2017	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	The Voronoï summation formula	1972	Bruce C. Berndt
+	Voronoi summation formula for Gaussian integers	2021	Debika Banerjee Ehud Moshe Baruch Daniel Bump
+	On the Summation Formula of Voronoi	1972	C. Nasim
+ PDF Chat	On the summation formula of Voronoi	1972	C. Nasim
+	Formula for the Product of Gauss Hypergeometric Functions and Applications	2020	D. V. Artamonov
+	A Voronoi summation formula for the shifted triple divisor function	2024	Alessandro Fazzari
+	Summations according to Gauss	2011	Gerhard J. Woeginger
+	Summation of series and Gaussian quadratures, II	1995	Gradimir V. Milovanović
+	Madhava, Gregory, Leibnitz, and sums of two squares	2010	Shailesh A. Shirali
+	Poisson summation formulas involving the sum-of-squares function	2020	Nir Lev Gilad Reti
+ PDF Chat	Poisson summation formulas involving the sum-of-squares function	2021	Nir Lev Gilad Reti
+	Summation formulas, from Poisson and Voronoi to the present	2004	Stephen D. Miller Wilfried Schmid
+	Summation of multiplicative functions	1983	Б. М. Широков
+	Summation of multiplicative functions	2002	Марис Евгеньевич Чанга
+	Gauss sums and Gamma functions	2004
+	Sums and integrals	2004	Robert M. Gray L. Davisson
+ PDF Chat	Summation and the Poisson formula	2020	Madhav V. Nori
+	A Note on the Summation of Squares	1977	Verner E. Hoggatt

Works That Cite This (10)

Action	Title	Year	Authors
+ PDF Chat	Certain extensions of results of Siegel, Wilton and Hardy	2024	Pedro Ribeiro Semyon Yakubovich
+	A class of identities associated with Dirichlet series satisfying Hecke’s functional equation	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+ PDF Chat	Two general series identities involving modified Bessel functions and a class of arithmetical functions	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	SUMS OF SQUARES AND PARTITION CONGRUENCES	2020	Su-Ping Cui Nancy S. S. Gu
+	A generalized modified Bessel function and explicit transformations of certain Lambert series	2020	Atul Dixit Aashita Kesarwani Rahul Kumar
+ PDF Chat	Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory	2020	Atul Dixit Arindam Roy
+	Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory	2019	Atul Dixit Arindam Roy
+ PDF Chat	Harmonic numbers, harmonic series and zeta function	2018	Ahmed Sebbar
+	Identities associated to a generalized divisor function and modified Bessel function	2023	Debika Banerjee Bibekananda Maji
+ PDF Chat	Explicit transformations of certain Lambert series	2022	Atul Dixit Aashita Kesarwani Rahul Kumar

Works Cited by This (37)

Action	Title	Year	Authors
+ PDF Chat	Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook	2008	Bruce C. Berndt Yoonbok Lee Jaebum Sohn
+	On Dirichlet Series for Sums of Squares	2003	Jonathan M. Borwein Kwok-Kwong Stephen Choi
+	Multiplicative Number Theory	1980	H. Davenport
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono
+	Vorlesungen über Zahlentheorie	1950	Helmut Hasse
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald
+ PDF Chat	Introduction to the Theory of Infinite Series	1966	T. J. Bromwich
+	Hecke's Functional Equation and Arithmetical Identities	1961	K. Chandrasekharan Raghavan Narasimhan
+	SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)	1934	A. L. Dixon W. L. Ferrar
+	Some Identities in the Theory of Numbers	1927	A. Oppenheim