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

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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…

Diophantine approximation with mixed powers of Piatetski-Shapiro primes

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

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