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math.NT2020
A ternary diophantine inequality by primes with one of the form
S. I. Dimitrov
In this paper we solve the ternary Piatetski-Shapiro inequality with prime numbers of a special form. More precisely we show that, for any fixed , every suffic…
math.NT2020★ 3 cited
Diophantine approximation with one prime of the form
S. I. Dimitrov
Let be a small constant. In the present paper we prove that whenever is real and constants satisfy some necessary conditions, then there exist infinitely…