Determination of some lattice sum limits

DOI10.1016/j.jmaa.2003.10.052zbMath1107.82011OpenAlexW2058621426MaRDI QIDQ596687

Masami Yoshimoto, Shigeru Kanemitsu, Yoshio Tanigawa

Publication date: 10 August 2004

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.2003.10.052

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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• Some sums involving Farey fractions. II
• Analysis of certain lattice sums
• Convergence of lattice sums and Madelung’s constant
• Energy of static electron lattices
• Some logarithmic lattice sums

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