- Title
- On some trigonometric and exponential lattice sums
- Creator
- Borwein, D.; Borwein, J. M.
- Relation
- Journal of Mathematical Analysis and Applications Vol. 188, Issue 1, p. 209-218
- Publisher Link
- http://dx.doi.org/10.1006/jmaa.1994.1422
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 1994
- Description
- Certain two-dimensional trigonometric lattice series, the ordinary convergence of which involves unresolved questions of a deep and delicate number-theoretic nature, are shown to be summable by a special Abelian method and their Abelian sums are obtained. This is done by first evaluating an absolutely convergent exponential lattice series and then analytically extending its sum.
- Subject
- Abelian sums; trigonometry; exponential lattice sums
- Identifier
- http://hdl.handle.net/1959.13/1042497
- Identifier
- uon:14062
- Identifier
- ISSN:0022-247X
- Language
- eng
- Reviewed
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