The Zsiflaw--Legeis theorem for arbitrary bases
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918089217540096 |
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| author | Bhowmik, Gautami Suzuki, Yuta |
| author_facet | Bhowmik, Gautami Suzuki, Yuta |
| contents | In this paper, we prove analogues of the Dirichlet theorem on arithmetic progressions and the Siegel--Walfisz theorem for the digital reverses of primes for arbitrary bases, which the authors obtained in the previous paper but only for large bases. The proof is based on a generalization of the result of Martin--Mauduit--Rivat (2014) on the exponential sums over primes with the so-called ``digital'' functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08714 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Zsiflaw--Legeis theorem for arbitrary bases Bhowmik, Gautami Suzuki, Yuta Number Theory Primary: 11A63, Secondary: 11N05, 11N69 In this paper, we prove analogues of the Dirichlet theorem on arithmetic progressions and the Siegel--Walfisz theorem for the digital reverses of primes for arbitrary bases, which the authors obtained in the previous paper but only for large bases. The proof is based on a generalization of the result of Martin--Mauduit--Rivat (2014) on the exponential sums over primes with the so-called ``digital'' functions. |
| title | The Zsiflaw--Legeis theorem for arbitrary bases |
| topic | Number Theory Primary: 11A63, Secondary: 11N05, 11N69 |
| url | https://arxiv.org/abs/2507.08714 |