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Lattice sums then and now /
"The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular...
| Main Authors: | , , , , |
|---|---|
| Format: | Printed Book |
| Sprog: | English |
| Udgivet: |
New York:
Cambridge University Press,
2013.
|
| Serier: | Encyclopedia of mathematics and its applications ;
150 |
| Fag: | |
| Online adgang: | Cover image |
Indholdsfortegnelse:
- Machine generated contents note: Foreword; Preface; 1. Lattice sums; 2. Convergence of lattice sums and Madelung's constant; 3. Angular lattice sums; 4. Use of Dirichlet series with Complex characters; 5. Lattice sums and Ramanujan's modular equations; 6. Closed form evaluations of three- and four-dimensional sums; 7. Electron sums; 8. Madelung sums in higher dimensions; 9. 70 years of the Watson integrals; Appendix A. Tables; Bibliography; Index.