Random process generated by the incomplete Gauss sums

Authors: EMEK DEMİRCİ AKARSU

Abstract: In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue of weak invariance principle for these sums. We focus our attention exclusively on a generalization of the limit distribution of the long incomplete Gauss sums given by the family of periodic functions analyzed by the author and Marklof.

Keywords: Gauss sums, random process

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