The evaluation of lattice sums. III. Phase modulated sums

DOI10.1063/1.1666619zbMath0321.33017OpenAlexW2014685665MaRDI QIDQ4084008

No author found.

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666619

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other special functions (33E99) Elliptic functions and integrals (33E05)

Related Items (8)

Analytical results for a class of sums involving Bessel functions and square arrays ⋮ Friction factors for a lattice of Brownian particles ⋮ Distributive and analytic properties of lattice sums ⋮ Evaluation of phase-modulated lattice sums ⋮ Evaluation and regularization of phase-modulated Eisenstein series and application to double Schlömilch-type sums ⋮ Evaluation of lattice sums. IV. A five-dimensional sum ⋮ Two-dimensional, phase modulated lattice sums with application to the Helmholtz Green’s function ⋮ On rectangular vortex lattices

Cites Work

• The evaluation of lattice sums. I. Analytic procedures
• The evaluation of lattice sums. II. Number-theoretic approach

This page was built for publication: The evaluation of lattice sums. III. Phase modulated sums