S. I. Dimitrov, “Exponential sums over Piatetski–Shapiro primes in arithmetic progressions”, Algebra i Analiz, 2025, Volume 37, Issue 3,Pages <nobr>75

Research Papers

Exponential sums over Piatetski–Shapiro primes in arithmetic progressions

S. I. Dimitrov^ab

^a Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Blvd. St.Kliment Ohridski 8, Sofia 1756, Bulgaria
^b Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 105, Sofia 1113, Bulgaria

Abstract: Let $\gamma<1<c$ and let $19(c-1)+171(1-\gamma)<9$. An asymptotic formula is established for exponential sums over Piatetski–Shapiro primes $p=[n^{1/\gamma}]$ in arithmetic progressions.

Keywords: Piatetski–Shapiro prime, asymptotic formula, arithmetic progression.

Received: 20.11.2022

Language: English