Application of Mahler measure theory to the face-centred cubic lattice Green function at the origin and its associated logarithmic integral

DOI10.1088/1751-8113/45/28/285001zbMath1260.82017OpenAlexW1980517601MaRDI QIDQ2901864

G. S. Joyce

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1088/1751-8113/45/28/285001

zbMATH Keywords

Mahler measuregeneralized hypergeometric functionscubic lattice Green function

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of basic hypergeometric functions (33D90)

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Exact results for the diamond lattice Green function with applications to uniform random walks in a plane ⋮ The hypergeometric series for the partition function of the 2D Ising model

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