Certain extensions of results of Siegel, Wilton and Hardy (Q6199296)

scientific article; zbMATH DE number 7822013

Language	Label	Description	Also known as
English	Certain extensions of results of Siegel, Wilton and Hardy	scientific article; zbMATH DE number 7822013

Statements

instance of

scholarly article

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title

Certain extensions of results of Siegel, Wilton and Hardy (English)

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published in

Advances in Applied Mathematics

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publication date

21 March 2024

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full work available at URL

https://arxiv.org/abs/2304.09545

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zbMATH Keywords

Dirichlet series

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summation formulas

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Bessel functions

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Hardy's theorem

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Jacobi theta functions

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confluent hypergeometric function

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MaRDI profile type

MaRDI publication profile

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cites work

Q4222737

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On Epstein's zeta function

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Arithmetical identities and Hecke's functional equation

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Generalised Dirichlet series and Hecke's functional equation

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Identities Involving the Coefficients of a Class of Dirichlet Series. I

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Identities Involving the Coefficients of a Class of Dirichlet Series. III

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Identities Involving the Coefficients of a Class of Dirichlet Series. V

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The Functional Equation of Some Dirichlet Series

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

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On a theorem of A. I. Popov on sums of squares

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Sums of squares and products of Bessel functions

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Character analogues of theorems of Ramanujan, Koshliakov and Guinand

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Q2939670

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Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook

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Some properties of modular relations

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The Confluent Hypergeometric Function

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L-Functions of a Quadratic Form

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Hecke's functional equation and arithmetical identities

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Analogues of the general theta transformation formula

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Riesz-type criteria and theta transformation analogues

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Zeros of combinations of the Riemann $\Xi$-function and the confluent hypergeometric function on bounded vertical shifts

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Zeros of combinations of the Riemann $\xi$-function on bounded vertical shifts

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LATTICE-POINT SUMMATION FORMULAE

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SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)

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SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (II)

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SOME RAPIDLY CONVERGENT SERIES FOR THE RIEMANN ξ-FUNCTION

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Nullstellen Epsteinscher Zetafunktionen

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On a two-variable zeta function for number fields.

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Magnitude of the Fourier coefficients of automorphic forms of negative dimension

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Zeros of $L$-functions attached to cusp forms of half-integral weight

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On some relations which are equivalent to functional equations involving the Riemann zeta function

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On the Epstein zeta function and the zeros of a class of Dirichlet series

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On Epstein's Zeta-function.

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Contributions to the theory of the Dirichlet $L$-series and the Epstein zeta-functions

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Some Relations Associated with an Extension of Koshliakov's Formula

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L-functions and character sums for quadratic forms (I)

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L-functions and character sums for quadratic forms (II)

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Q3504285

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Q4880419

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Identifiers

arXiv ID

2304.09545

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Mathematics Subject Classification ID

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10.1016/J.AAM.2024.102676

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Sitelinks

Mathematics(1 entry)

mardi Publication:6199296