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arXiv 0909.3079math-phmath.MP
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An exact renormalization formula for Gaussian exponential sums and applications

Alexander Fedotov, Frédéric Klopp

英文摘要:

In the present paper, we derive a renormalization formula "à 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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