Fractional parts of non-integer powers of primes
Abstract
Let α > 0 be any fixed non-integer, I be any subinterval of [0; 1). In the paper, we prove an analogue of Bombieri-Vinogradov theorem for the set of primes p satisfying the condition \ pα \ ∈ I. This strengthens the previous result of Gritsenko and Zinchenko.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.