Work

Distribution Modulo One of αpγ + β for Special Classes of Primes

Year: 2025

Type: article

Abstract: Let α,β∈R with α≠0, and let γ∈(0,5/6). Define the set M1 to consist of primes p such that p+2 is almost prime, and let M2 be the set of primes of the form p=a2+b2+1. We study the distribution of αpγ + β modulo one, as p ranges over the sets M1 and M2, respectively.

Source: Axioms

DOI: 10.3390/axioms14070532

Authors: Atanaska Georgieva, Tatiana L. Todorova

Institutions: Plovdiv University, Sofia University "St. Kliment Ohridski"

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: European Commission