Madelung constants and lattice sums for hexagonal crystals

DOI10.1088/0305-4470/24/4/019zbMath0744.11049OpenAlexW2021525902MaRDI QIDQ4713642

I. J. Zucker

Publication date: 25 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/4/019

zbMATH Keywords

hexagonal latticeMadelung constantsMellin transforms of \(\theta\)- functions

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Theta series; Weil representation; theta correspondences (11F27) Analytic theory of partitions (11P82)

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Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

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