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ON POISSON'S SUMMATION FORMULA: A PROBABILISTIC APPROACH
Author(s)
Vanderperre, E. J.
Larsar, T.
Makhanov, S. S.
Date Issued
March 1, 1997
Type
Article
Abstract
We present a summation formula embedded in the frame - work of Probability Theory. Our result is based on a concatenation of Poisson's summation formula and the Fourier inversion theorem. As an application, we derive a very short demonstration of the transformation formula for the theta function.
Citation
Scienceasia, 23(1), 57-59, 1997