An exact renormalization formula for Gaussian exponential sums and applications

Alexander Fedotov (1) , Frédéric Klopp (2)

1 Department of Mathematical Physics
2 LAGA - Laboratoire Analyse, Géométrie et Applications

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.

Mots clés: Gaussian sums; renormalization

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Alexander Fedotov, Frédéric Klopp. An exact renormalization formula for Gaussian exponential sums and applications. 2009. ⟨hal-00417749⟩