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math-ph2022★ 4 cited
The Madelung Constant in Dimensions
Antony Burrows, Shaun Cooper, Peter Schwerdtfeger
We introduce two convergent series expansions (direct and recursive) in terms of Bessel functions and representations of sums of squares for -dimensional Madelung const…
math-ph2021★ 2 cited
The Cuboidal Lattices and their Lattice Sums
Antony Burrows, Shaun Cooper, Peter Schwerdtfeger
Lattice sums of cuboidal lattices, which connect the face-centered with the mean-centered and the body-centered cubic lattices through parameter dependent lattice vectors, are eval…