S. I. Dimitrov

activity

20202026

most citedDiophantine approximation with one prime of the form

p = x^{2} + y^{2} + 1

3 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

A Diophantine inequality with five squares of Piatetski-Shapiro primes

S. I. Dimitrov

Let $[\cdot]$ denote the floor function. Assume that $λ_{1}, λ_{2}, λ_{3}, λ_{4}, λ_{5}$ are nonzero real numbers, not all of the same sign, that $λ_{1} / λ_{2}$ is irrational, and that $η$ is…

math.NT2026

A Diophantine inequality involving different powers of primes of the form $[n^{c}]$

S. I. Dimitrov

Let $[x]$ denote the integer part of a real number $x$ . Assume that $λ_{1}, λ_{2}, λ_{3}$ are nonzero real numbers, not all of the same sign, that $λ_{1} / λ_{2}$ is irrational, and that $η…

math.NT2025

Diophantine approximation with mixed powers of Piatetski-Shapiro primes

S. I. Dimitrov

Let $[\cdot]$ denote the floor function. In this paper, we show that whenever $η$ is real and the constants $λ_{i}$ satisfy some necessary conditions, then for any fixed $\frac{6…

math.NT2025

On the distribution of $α p^{2}$ modulo one over primes of the form $[n^{c}]$

S. I. Dimitrov, M. D. Lazarova

Let $[\cdot]$ be the floor function and $∥ x ∥$ denote the distance from $x$ to the nearest integer. In this paper we show that whenever $α$ is irrational and $β$ is real then…

math.NT2024

A binary additive equation with prime and square-free number

S. I. Dimitrov

Let $[\cdot]$ be the floor function. In this paper, we show that when $1 < c < \frac{82}{79}$ , then every sufficiently large positive integer $N$ can be represented in the form \b…

math.NT2020

A ternary diophantine inequality by primes with one of the form $p = x^{2} + y^{2} + 1$

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 $1 < c < \frac{427}{400}$ , every suffic…

math.NT2020★ 3 cited

Diophantine approximation with one prime of the form $p = x^{2} + y^{2} + 1$

S. I. Dimitrov

Let $ε > 0$ be a small constant. In the present paper we prove that whenever $η$ is real and constants $λ_{i}$ satisfy some necessary conditions, then there exist infinitely…

A Diophantine inequality with five squares of Piatetski-Shapiro primes

A Diophantine inequality involving different powers of primes of the form [nc]

Diophantine approximation with mixed powers of Piatetski-Shapiro primes

On the distribution of αp2 modulo one over primes of the form [nc]

A binary additive equation with prime and square-free number

A ternary diophantine inequality by primes with one of the form p=x2+y2+1

Diophantine approximation with one prime of the form p=x2+y2+1

A Diophantine inequality involving different powers of primes of the form $[n^{c}]$

On the distribution of $α p^{2}$ modulo one over primes of the form $[n^{c}]$

A ternary diophantine inequality by primes with one of the form $p = x^{2} + y^{2} + 1$

Diophantine approximation with one prime of the form $p = x^{2} + y^{2} + 1$