New applications of Poisson's summation formula
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Publication:4060244
DOI10.1088/0305-4470/8/6/004zbMath0304.65005OpenAlexW2004800407MaRDI QIDQ4060244
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/10.1088/0305-4470/8/6/004
Multidimensional problems (41A63) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical summation of series (65B10)
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Computation of the Madelung constant for hypercubic crystal structures in any dimension ⋮ Crystal Symmetry Viewed as Zeta Symmetry II ⋮ Poisson summation formula in Hardy spaces \(H^p(T_\Gamma )\), \(p\in (0,1\)] ⋮ Crystal Symmetry Viewed as Zeta Symmetry ⋮ Analytical methods for fast converging lattice sums for cubic and hexagonal close-packed structures
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