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arxiv: 0909.3079 · v1 · submitted 2009-09-16 · 🧮 math-ph · math.MP

An exact renormalization formula for Gaussian exponential sums and applications

classification 🧮 math-ph math.MP
keywords formulaexponentialgaussiansumsexactrenormalizationapplicationsderive
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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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