An exact renormalization formula for Gaussian exponential sums and applications

Details An exact renormalization formula for Gaussian exponential sums and applications An exact renormalization formula for Gaussian exponential sums and applications

2009-09-16

arxiv.org/abs/0909.3079v1

Physics

Mathematical Physics

Scientific paper

In the present paper, we derive a renormalization formula "\`a la
Hardy-Littlewood" for the Gaussian exponential sums with an exact formula for
the remainder term. We use this formula to describe the typical growth of the
Gaussian exponential sums.

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