Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory

Acta Arithmetica ◽

10.4064/aa-28-1-23-68 ◽

1975 ◽

Vol 28 (1) ◽

pp. 23-68 ◽

Author(s):

Bruce Berndt ◽

Lowell Schoenfeld

Keyword(s):

Number Theory ◽

Summation Formulas ◽

Poisson Summation

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Corrigendum to the paper "Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory"

Acta Arithmetica ◽

10.4064/aa-38-3-323 ◽

1980 ◽

Vol 38 (3) ◽

pp. 323-323

Author(s):

Bruce Berndt ◽

Lowell Schoenfeld

Keyword(s):

Number Theory ◽

Summation Formulas ◽

Poisson Summation

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Some Reflections on Multidimensional Euler and Poisson Summation Formulas

Multivariate Approximation Theory III ◽

10.1007/978-3-0348-9321-3_16 ◽

1985 ◽

pp. 166-179

Author(s):

W. Freeden ◽

P. Hermann

Keyword(s):

Summation Formulas ◽

Poisson Summation

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Poisson summation formulas involving the sum-of-squares function

Israel Journal of Mathematics ◽

10.1007/s11856-021-2252-8 ◽

2021 ◽

Author(s):

Nir Lev ◽

Gilad Reti

Keyword(s):

Sum Of Squares ◽

Summation Formulas ◽

Poisson Summation

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One-Dimensional Euler and Poisson Summation Formulas

Metaharmonic Lattice Point Theory ◽

10.1201/b10876-10 ◽

2011 ◽

pp. 68-109

Keyword(s):

One Dimensional ◽

Summation Formulas ◽

Poisson Summation

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Ewald evaluation and Poisson summation formulas for a class of near‐Coulombic lattice sums

Journal of Mathematical Physics ◽

10.1063/1.524488 ◽

1980 ◽

Vol 21 (4) ◽

pp. 698-701 ◽

Author(s):

George L. Hall

Keyword(s):

Lattice Sums ◽

Summation Formulas ◽

Poisson Summation

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Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-016-9475-9 ◽

2016 ◽

Vol 23 (2) ◽

pp. 442-461 ◽

Author(s):

Ha Q. Nguyen ◽

Michael Unser ◽

John Paul Ward

Keyword(s):

Polynomial Growth ◽

Continuous Functions ◽

Generalized Poisson ◽

Summation Formulas ◽

Poisson Summation

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Poisson Summation Formulas and Inversion Theorems for an Infinite Continuous Legendre Transform

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-005-3073-6 ◽

2005 ◽

Vol 11 (2) ◽

pp. 151-173 ◽

Author(s):

Roland Girgensohn

Keyword(s):

Legendre Transform ◽

Summation Formulas ◽

And Inversion ◽

Poisson Summation

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A spectral analysis of automorphic distributions and Poisson summation formulas

Annales de l’institut Fourier ◽

10.5802/aif.2048 ◽

2004 ◽

Vol 54 (5) ◽

pp. 1151-1196 ◽

Author(s):

André Unterberger

Keyword(s):

Spectral Analysis ◽

Summation Formulas ◽

Poisson Summation

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Multidimensional Euler and Poisson summation formulas

Results in Mathematics ◽

10.1007/bf03323347 ◽

1980 ◽

Vol 3 (1-2) ◽

pp. 33-63 ◽

Author(s):

Claus Müller ◽

Willi Freeden

Keyword(s):

Summation Formulas ◽

Poisson Summation

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Abstract Poisson summation formulas over homogeneous spaces of compact groups

Analysis and Mathematical Physics ◽

10.1007/s13324-016-0156-2 ◽

2016 ◽

Vol 7 (4) ◽

pp. 493-508 ◽

Author(s):

Arash Ghaani Farashahi

Keyword(s):

Homogeneous Spaces ◽

Compact Groups ◽

Summation Formulas ◽

Poisson Summation

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