Fractional Parts Of Non-Integer Powers Of Primes. II
نویسندگان
چکیده
Abstract We continue to study the distribution of prime numbers p, satisfying condition $\{p^{\alpha} \} \in I \subset [0; 1)$, in arithmetic progressions. In this paper, we prove an analogue Bombieri–Vinogradov theorem for 0 < α 1/9 with level $\theta = 2/5 - (3/5) \alpha$, which improves previous result corresponding \leqslant 1/3$.
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ژورنال
عنوان ژورنال: Quarterly Journal of Mathematics
سال: 2021
ISSN: ['0033-5606', '1464-3847']
DOI: https://doi.org/10.1093/qmath/haab031