Sums of values of non-principal characters over shifted primes
| Autor: | Khusenovich, Rakhmonov Zarullo |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | In: Pintz, J., Rassias, M. (eds) Irregularities in the Distribution of Prime Numbers. Springer, Cham. (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/978-3-319-92777-0_10 |
| Popis: | 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. Comment: This is an updated version of the paper published under the same title in 2018. Refer to the DOI provided below |
| Databáze: | arXiv |
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