Distribution of primes of special kind in arithmetic progressions

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In the paper, we study the distribution of prime numbers p, p X, X → +∞, satisfying the condition {po} qn + a, (q, a) = 1,n = 0, 1, 2, . . ., «on average» over q. The number Q, which is the maximum possible value for q, can be as large as XO-𝜀, O = 2/5 - (3/5)o. This improves the previous results corresponding to O

Prime numbers, arithmetic progressions, fractional parts, bombieri-vinogradov theorem

Короткий адрес: https://sciup.org/142230097

IDR: 142230097

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