Lattice sums arising from the Poisson equation

DOI10.1088/1751-8113/46/11/115201zbMath1263.11074OpenAlexW2060139352WikidataQ56935385 ScholiaQ56935385MaRDI QIDQ4924194

I. J. Zucker, David H. Bailey, Jonathan M. Borwein, Richard E. Crandall

Publication date: 30 May 2013

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

Full work available at URL: https://semanticscholar.org/paper/217ecc3683c209bb41bbf27a5b7b0a1ad768801d

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Generalized hypergeometric series, ({}_pF_q) (33C20) Trigonometric and exponential sums (general theory) (11L03)

Related Items (7)

Jonathan Borwein: Experimental Mathematician ⋮ The evaluation of two-dimensional lattice sums via Ramanujan's theta functions ⋮ Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets ⋮ Jonathan Borwein: Renaissance Mathematician ⋮ Computer Discovery and Analysis of Large Poisson Polynomials ⋮ Complex singularity analysis for vortex layer flows ⋮ High-precision arithmetic in mathematical physics

Uses Software

• ARPREC

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