# 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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