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most citedPrimes with a missing digit: distribution in arithmetic progressions and an application in sieve theory

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math.NT2024

The distribution of the maximum of cubic character sums

Youness Lamzouri, Kunjakanan Nath

For a primitive Dirichlet character we let \[M(χ):= \frac{1}{\sqrt{q}}\max_{1\leq t \leq q} \Big|\sum_{n \leq t} χ(n) \Big|.\] In this paper, we investigate the distribu…