Affiliation:
1. School of Mathematics, University of Bristol, Woodland Road, Bristol BS8 1UG, UK
Abstract
Abstract
In this paper, we consider the distribution of the continuous paths of Dirichlet character sums modulo prime $q$ on the complex plane. We also find a limiting distribution as $q \rightarrow \infty $ using Steinhaus random multiplicative functions, stating properties of this random process. This is motivated by Kowalski and Sawin’s work on Kloosterman paths.
Publisher
Oxford University Press (OUP)