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The Limiting Distribution of Character Sums

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 نشر من قبل Ayesha Hussain
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Ayesha Hussain




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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 Sawins work on Kloosterman paths.

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