The pseudoinverse of the Laplacian matrix: asymptotic behavior of its trace

DOI10.1007/s10476-023-0216-4arXiv2208.08563MaRDI QIDQ6111820

Cem Yalçın Yıldırım, Fatih Ecevit

Publication date: 4 August 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08563

zbMATH Keywords

asymptotic approximationlattice sumelementary classical function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Exponential and trigonometric functions (33B10)

Cites Work

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• Families of metrized graphs with small tau constants
• A lattice sum involving the cosine function
• Asymptotic evaluation of a lattice sum associated with the Laplacian matrix
• Zhang's conjecture and the effective Bogomolov conjecture over function fields
• The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations
• On the Kirchhoff index of some toroidal lattices
• The Dilogarithm Function
• Lattice Green's functions in all dimensions
• Lattice Sums Then and Now

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