Autors: Dimitrov, S. I., Lazarova, M. D.
Title: On the distribution of αp2 modulo one over primes of the form [nc]
Keywords: Distribution modulo one, Piatetski–Shapiro primes, Upper bound

Abstract: Let [·] be the floor function and ‖x‖ denote the distance from x to the nearest integer. In this paper we show that whenever α is irrational and β is real then for any fixed 1314<γ<1, there exist infinitely many prime numbers p satisfying the inequality (Formula presented.) and such that p=[n1/γ].

References

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Issue

Ramanujan Journal, vol. 68, 2025, Netherlands, https://doi.org/10.1007/s11139-025-01210-7

Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science