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 latti...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2013
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| Series: | Encyclopedia of mathematics and its applications
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| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- Lattice sums
- Convergence of lattice sums and Madelung's constant
- Angular lattice sums
- Use of Dirichlet series with complex characters
- Lattice sums and Ramanujan's modular equations
- Closed form evaluations of three- and four-dimensional sums
- Electron sums
- Madelung sums in higher dimensions
- Seventy years of the Watson integrals