Functional equations for poly-dimensional zeta functions and the evaluation of Madelung constants
- 1 April 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (4) , 499-505
- https://doi.org/10.1088/0305-4470/9/4/006
Abstract
The lattice sums required to evaluate Madelung constants of ionic crystals are very slowly convergent if summed directly. A method is given of transforming these sums to other series which not only are rapidly convergent but involve the use of elementary functions only.Keywords
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