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Some Finite Analogues of the Poisson Summation Formula†
Published online by Cambridge University Press: 20 January 2009
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1. Guinand (2) has obtained finite identities of the type
where m, n, N are positive integers and either
or
where γ is Euler's constant and the notation ∑′ indicates that when x is integral the term r = x is multiplied by ½. Clearly there is no loss of generality in taking N = 1 in (1.1).
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- Copyright © Edinburgh Mathematical Society 1961
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