Year: 2025
Type: article
Abstract: Let λ1,λ2,λ3 be nonzero real numbers, not all of the same sign; let λ1/λ2 be irrational; and let η be any real number. We investigate the solvability of the inequality |λ1p1+λ2p2+λ3p32+η|<(maxpj)−1/12+θ, θ>0 in the prime variables p1, p2, and p3. We require that p1+2 and p2+2 have no more than 20 prime factors, while p3+2 has no more than 42 prime factors.
Source: Mathematics
DOI: 10.3390/math13193065
Authors: Tatiana L. Todorova, Atanaska Georgieva
Institutions: Sofia University "St. Kliment Ohridski", Plovdiv University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Funder: European Commission
Awards: G1808227075, G7355391502
OpenAlex ID: W7082977414