Journal of the Ramanujan Mathematical Society
Volume 38, Issue 1, March 2023 pp. 1–13.
A ternary diophantine inequality by primes near to squares
Authors:
S. I. Dimitrov
Author institution:
Faculty of Applied Mathematics and Informatics,
Technical University of Sofia, Bulgaria
Summary:
Let c be fixed with 1 < c < 35/34. In this paper we prove that for every sufficiently large real
number N and a small constant ε>0, the diophantine inequality
|p{1}{c}+p{2}{c}+p{3}{c}-N| < ε
is solvable in primes p{1}, p{2}, p{3} near squares.
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