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arXiv:2307.00256 [math.NT]AbstractReferencesReviewsResources

Murmurations of Dirichlet characters

Kyu-Hwan Lee, Thomas Oliver, Alexey Pozdnyakov

Published 2023-07-01Version 1

Inspired by recent observations for elliptic curves, we prove murmuration formulas connected to the local averages of Dirichlet characters, normalized by their Gauss sums, over geometric and short intervals.

Comments: 11 pages, 5 figures, comments welcome
Categories: math.NT
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