On the cubic modular transformation and the cubic lattice Green functions

DOI10.1088/0305-4470/31/22/011zbMath0940.33012OpenAlexW2006861809MaRDI QIDQ4950583

G. S. Joyce

Publication date: 9 April 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/22/011

zbMATH Keywords

elliptic integralcubic modular transformation

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Elliptic functions and integrals (33E05)

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Asymptotics of parabolic Green’s functions on lattices ⋮ Two-particle bound states on a lattice ⋮ Entanglement and classical fluctuations at finite-temperature critical points ⋮ On the exact evaluation of the face-centred cubic lattice Green function ⋮ 70+ years of the Watson integrals ⋮ Free fermions with a localized source ⋮ A symbolic decision procedure for relations arising among Taylor coefficients of classical Jacobi theta functions ⋮ Discrete breathers in nonlinear Schrödinger hypercubic lattices with arbitrary power nonlinearity ⋮ On the Green function for the anisotropic simple cubic lattice. ⋮ Time-dependent dynamics of the three-dimensional driven lattice Lorentz gas ⋮ Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems ⋮ Spanning tree generating functions for infinite periodic graphs L and connections with simple closed random walks on L

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