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Short Report
ScienceAsia 23 (1997): 057-059 |doi: 10.2306/scienceasia1513-1874.1997.23.057
ON POISSON'S SUMMATION FORMULA: A PROBABILISTIC APPROACH
E.J. VANDERPERRE, T. LARSAR AND S.S. MAKHANOV
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.
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Faculty of Information Technology, King Mongkut's Institute of Technology. 10520 Bangkok, Thailand.
Received January 20, 1997
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