A lattice sum involving the cosine function

DOI10.1016/j.jmaa.2018.03.014zbMath1406.40001OpenAlexW2791045509WikidataQ130096512 ScholiaQ130096512MaRDI QIDQ1746751

Cem Yalçın Yıldırım, Arzu Boysal, Fatih Ecevit

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.03.014

zbMATH Keywords

asymptotic approximationelementary classical functionslattice sum

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (2)

Asymptotic evaluation of a lattice sum associated with the Laplacian matrix ⋮ The pseudoinverse of the Laplacian matrix: asymptotic behavior of its trace

Cites Work

• Families of metrized graphs with small tau constants
• Topics in multiplicative number theory
• A Tauberian theorem on Dirichlet series
• Summation of double series using the Euler-Maclaurin sum formula
• The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations
• Euler’s constant: Euler’s work and modern developments
• On the Kirchhoff index of some toroidal lattices
• The Dilogarithm Function
• Lattice Green's functions in all dimensions
• Values of the Dedekind Eta Function at Quadratic Irrationalities
• On Epstein's Zeta-function.
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