Short incomplete Gauss sums and rational points on metaplectic horocycles

Autor:	Akarsu, Emek Demirci
Rok vydání:	2013
Předmět:	Mathematics - Number Theory 11L05 37D40
Druh dokumentu:	Working Paper
Popis:	In the present paper we investigate the limiting behaviour of short incomplete Gauss sums at random argument as the number of terms goes to infinity. We prove that the limit distribution is given by the distribution of theta sums and differs from the limit law for long Gauss sums studied by the author and Marklof. The key ingredient in the proof is an equidistribution theorem for rational points on horocycles in the metaplectic cover of SL(2,R). Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.6057 Zobrazit plný text záznamu View this record from Arxiv