Exact results for some lattice sums in 2, 4, 6 and 8 dimensions
- 1 September 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (13), 1568-1575
- https://doi.org/10.1088/0305-4470/7/13/011
Abstract
A method developed by Glasser in 1973 is used to evaluate exactly lattice sums in 2, 4, 6 and 8 dimensions. Amongst the many results given are the Madelung sums. A certain three-dimensional sum first evaluated by Glasser but inaccurately presented, is given correctly.Keywords
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