A lattice sum involving the cosine function
type: Item
instance of: scholarly article
title: A lattice sum involving the cosine function
zbMATH Open document ID: 1406.40001
author: Arzu Boysal
author: Fatih Ecevit
author: C. Y. Yildirim
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-04-25T00:00:00Z
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 26D05
zbMATH DE Number: 6864723
zbMATH Keywords: lattice sum
zbMATH Keywords: elementary classical functions
zbMATH Keywords: asymptotic approximation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.03.014
OpenAlex ID: W2791045509
cites work: Q5521595
cites work: Q4165534
cites work: Q5732805
cites work: On Epstein's Zeta-function.
cites work: Families of metrized graphs with small tau constants
cites work: Lattice Green's functions in all dimensions
cites work: Euler's constant: Euler's work and modern developments
cites work: The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations
cites work: Q3916824
cites work: Topics in multiplicative number theory
cites work: A Tauberian theorem on Dirichlet series
cites work: Values of the Dedekind Eta Function at Quadratic Irrationalities
cites work: Q4210921
cites work: Summation of double series using the Euler-Maclaurin sum formula
cites work: On the Kirchhoff index of some toroidal lattices
cites work: The Dilogarithm Function
Wikidata QID: Q130096512
DOI: 10.1016/J.JMAA.2018.03.014
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description: scientific article; zbMATH DE number 6864723