A ternary diophantine inequality by primes near to squares
Number Theory
2019-10-09 v1
Abstract
Let be fixed with . In this paper we prove that for every sufficiently large real number and a small constant , the diophantine inequality \begin{equation*} |p_1^c+p_2^c+p_3^c-N|<\varepsilon \end{equation*} is solvable in primes near to squares.
Cite
@article{arxiv.1910.03528,
title = {A ternary diophantine inequality by primes near to squares},
author = {S. I. Dimitrov},
journal= {arXiv preprint arXiv:1910.03528},
year = {2019}
}