Sums of values of non-principal characters over shifted primes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910871235592192 |
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| author | Rakhmonov, Zarullo |
| author_facet | Rakhmonov, Zarullo |
| contents | For a nonprincipal character $χ$ modulo $D$, when $x\ge D^{\frac56+\varepsilon}$, $(l,D) = 1$, we prove a nontrivial estimate of the form $\sum_{n\le x}Λ(n)χ(n-l)\ll x\exp\left(-0.6\sqrt{\ln D}\right)$ for the sum of values of $χ$ over a sequence of shifted primes. Bibliography: 41 references. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03040 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sums of values of non-principal characters over shifted primes Rakhmonov, Zarullo Number Theory For a nonprincipal character $χ$ modulo $D$, when $x\ge D^{\frac56+\varepsilon}$, $(l,D) = 1$, we prove a nontrivial estimate of the form $\sum_{n\le x}Λ(n)χ(n-l)\ll x\exp\left(-0.6\sqrt{\ln D}\right)$ for the sum of values of $χ$ over a sequence of shifted primes. Bibliography: 41 references. |
| title | Sums of values of non-principal characters over shifted primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.03040 |