Е-Публикации
Технически университет - София

Abstract: Let [x] denote the integer part of a real number x, and let ‖x‖ represent the distance from x to the nearest integer. We establish that for any irrational number α and any real number β, and for any fixed 99100<γ<1, there exist infinitely many prime numbers p for which the inequality (Formula presented.) holds, where p=[n1/γ].

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