English

Exponential sums over Piatetski-Shapiro primes in arithmetic progressions

Number Theory 2022-11-22 v1

Abstract

Let γ<1<c\gamma<1<c and 19(c1)+171(1γ)<919(c-1)+171(1-\gamma)<9. In this paper, we establish an asymptotic formula for exponential sums over Piatetski-Shapiro primes p=[n1/γ]p=[n^{1/\gamma}] in arithmetic progressions.

Cite

@article{arxiv.2211.10928,
  title  = {Exponential sums over Piatetski-Shapiro primes in arithmetic progressions},
  author = {S. I. Dimitrov},
  journal= {arXiv preprint arXiv:2211.10928},
  year   = {2022}
}
R2 v1 2026-06-28T06:18:13.898Z