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arXiv · 2412.03040

Sums of values of non-principal characters over shifted primes

Zarullo Rakhmonov
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Abstract

For a nonprincipal character $\chi$ modulo $D$, when $x\ge D^{\frac56+\varepsilon}$, $(l,D) = 1$, we prove a nontrivial estimate of the form $\sum_{n\le x}\Lambda (n)\chi (n-l)\ll x\exp\left(-0.6\sqrt{\ln D}\right)$ for the sum of values of $\chi$ over a sequence of shifted primes. Bibliography: 41 references.

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Zarullo Rakhmonov. 2024-12-04. Sums of values of non-principal characters over shifted primes. https://doi.org/10.1007/978-3-319-92777-0_10

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