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

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.

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Journal
Axioms
Published
2025-07-12
DOI
https://doi.org/10.3390/axioms14070532
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Tatyana Todorova, Atanaska Georgieva
Axioms
Analytic Number Theory Research
article

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

Tatyana Todorova, Atanaska Georgieva
article en

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.

AxiomsVol. 14(7)
Plovdiv University (BG), Sofia University "St. Kliment Ohridski" (BG)
Openalex Percentile: Top 76%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Distribution Modulo One of αpγ + β for Special Classes of Primes — Tatyana Todorova, Atanaska Georgieva · Axioms (2025) | TGRS Research Map | TGRS