Exact values of some two-dimensional lattice sums
From MaRDI portal
Publication:4061041
DOI10.1088/0305-4470/8/6/006zbMath0305.10037OpenAlexW1983016137MaRDI QIDQ4061041
Publication date: 1975
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/8/6/006
Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Hurwitz and Lerch zeta functions (11M35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01)
Related Items (11)
Systematic investigation of two-dimensional static array sums ⋮ Generalized multidimensional Epstein zeta functions ⋮ Solvable lattice sums and quadratic Dirichlet $L$-values ⋮ Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli ⋮ A class of infinite sums and integrals ⋮ New Jacobian ϑ functions and the evaluation of lattice sums ⋮ Symmetrization of the Hurwitz zeta function and Dirichlet L functions ⋮ Floating Wigner crystal and periodic jellium configurations ⋮ Analytical methods for fast converging lattice sums for cubic and hexagonal close-packed structures ⋮ Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality ⋮ Asymptotic Formulas and Generalized Dedekind Sums
This page was built for publication: Exact values of some two-dimensional lattice sums
