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Some Finite Identities Connected with Poisson's Summation Formula

Published online by Cambridge University Press:  20 January 2009

A. P. Guinand
A. P. Guinand
Affiliation:
University of Alberta, Edmonton, Alberta, Canada
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It is known that there is a connexion between the functional equation of the theta-function

and the reciprocity formula for Gauss sums. The latter formula is usually written as

where p and q are positive integers, mutually prime, and not both odd.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , Issue 1 , June 1960 , pp. 17 - 25
Copyright
Copyright © Edinburgh Mathematical Society 1960