The evaluation of lattice sums. I. Analytic procedures
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Publication:5670127
DOI10.1063/1.1666331zbMath0255.65002OpenAlexW2045199056WikidataQ59509082 ScholiaQ59509082MaRDI QIDQ5670127
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Publication date: 1973
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1666331
Statistical mechanics of crystals (82D25) Numerical summation of series (65B10) Other special functions (33E99)
Related Items (18)
Analytical results for a class of sums involving Bessel functions and square arrays ⋮ Systematic investigation of two-dimensional static array sums ⋮ Crystal Symmetry Viewed as Zeta Symmetry II ⋮ Distributive and analytic properties of lattice sums ⋮ Evaluation and regularization of phase-modulated Eisenstein series and application to double Schlömilch-type sums ⋮ Correlation of local densities of states on mesoscopic energy scales in random band matrices ⋮ The Euler-Riemann gases, and partition identities ⋮ The evaluation of lattice sums. II. Number-theoretic approach ⋮ New Jacobian ϑ functions and the evaluation of lattice sums ⋮ The evaluation of lattice sums. III. Phase modulated sums ⋮ On a certain class of dirichlet series ⋮ Generation of off-critical zeros for hypercubic Epstein zeta functions ⋮ Some series over the product of two trigonometric functions and series involving Bessel functions ⋮ Analytical evaluation of a class of phase-modulated lattice sums ⋮ On the summation of series involving Bessel or Struve functions ⋮ Two-dimensional, phase modulated lattice sums with application to the Helmholtz Green’s function ⋮ Neumann series and lattice sums ⋮ A new method for the evaluation of slowly convergent series
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