The Riemann hypothesis and the zero distribution of angular lattice sums

Royal Soc
Publication Type:
Journal Article
Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 2011, 467 (2133), pp. 2462 - 2478
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We give analytical results pertaining to the distributions of zeros of a class of sums which involve complex powers of the distance to points in a two-dimensional square lattice and trigonometric functions of their angle. Let C(0, 1; s) denote the produc
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