Abstract
In the study of Euler product expansion of certain multiple zeta functions, S. Koyama and N. Kurokawa introduced the signed double Poisson summation formula. In this thesis we give a new proof using the idea from the proof of Poisson Summation formula for (R2,Z2) and loose the conditions about the parameters in the formula. And in the process we find a formula for the Fourier transform of certain function on R2 associated to an odd function on R.
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