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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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