collaborators

6 papers

math.NT2026

A Diophantine inequality involving different powers of primes of the form

S. I. Dimitrov

Let denote the integer part of a real number . Assume that are nonzero real numbers, not all of the same sign, that is irrational, and th…

math.NT2026

Diophantine approximation with mixed powers of Piatetski-Shapiro primes

S. I. Dimitrov

Let denote the floor function. In this paper, we show that whenever is real and the constants satisfy some necessary conditions, then for any fixed $\frac…

math.NT2026

A Diophantine inequality with five squares of Piatetski-Shapiro primes

S. I. Dimitrov

Let denote the floor function. Assume that are nonzero real numbers, not all of the same sign, that is irrational, and that…

math.NT2025

A binary additive equation with prime and square-free number

S. I. Dimitrov

Let be the floor function. In this paper, we show that when , then every sufficiently large positive integer can be represented in the form \b…

math.NT2025

On the distribution of modulo one over primes of the form

S. I. Dimitrov, M. D. Lazarova

Let be the floor function and denote the distance from to the nearest integer. In this paper we show that whenever is irrational and is real th…

math.NT2025

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…