On the Riemann property of angular lattice sums and the one-dimensional limit of two-dimensional lattice sums

Publisher:
Royal Soc
Publication Type:
Journal Article
Citation:
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 2008, 464 (2100), pp. 3327 - 3352
Issue Date:
2008-01
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We consider a general class of two-dimensional lattice sums consisting of complex powers s of inverse quadratic functions. We consider two cases, one where the quadratic function is negative definite and another more restricted case where it is positive
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