- Title
- Convergance of Madelung-like lattice sums
- Creator
- Borwein, David; Borwein, Jonathan M.; Pinner, Christopher
- Relation
- Transactions of the American Mathematical Society Vol. 350, Issue 8, p. 3131-3167
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9947-98-01983-7
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1998
- Description
- We make a general study of the convergence properties of lattice sums, involving potentials, of the form occurring in mathematical chemistry and physics. Many specific examples are studied in detail. The prototype is Madelung's constant for NaCl: [formula could not be replicated]= -1.74756459···, presuming that one appropriately interprets the summation proccess.
- Subject
- lattice sums; zeta functions; conditional convergence; Madelung's constant; Dirichlet series; theta functions
- Identifier
- http://hdl.handle.net/1959.13/940465
- Identifier
- uon:13015
- Identifier
- ISSN:0002-9947
- Rights
- First published in Transactions of the American Mathematical Society in Vol. 350, No.8, pp. 3131-3167, 1998, published by the American Mathematical Society.
- Language
- eng
- Full Text
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