The Limiting Distribution of Character Sums

DOI10.1093/IMRN/RNAB194zbMATH Open1506.11109arXiv2010.06967OpenAlexW3185924310MaRDI QIDQ5046091

Ayesha Hussain

Publication date: 27 October 2022

Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)

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 $qightarrowinfty$ using Steinhaus random multiplicative functions, stating properties of this random process. This is motivated by Kowalski and Sawin's work on Kloosterman paths.

Full work available at URL: https://arxiv.org/abs/2010.06967

zbMATH Keywords

character sumsrandom processeslimiting distributions

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) General theory of distribution modulo (1) (11K06)

Related Items (2)

The distribution of large quadratic character sums and applications ⋮ The distribution of short character sums

This page was built for publication: The Limiting Distribution of Character Sums

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5046091)