Zhivko Petrov

activity

20162018

most citedOn an equation involving fractional powers with prime numbers of a special type

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2018

A hybrid of two theorems of Piatetski-Shapiro

Angel Kumchev, Zhivko Petrov

Let $c > 1$ and $0 < γ < 1$ be real, with $c \in / N$ . We study the solubility of the Diophantine inequality \[ \left| p_1^c + p_2^c + \dots + p_s^c - N \right| < \varepsil…

math.NT2017★ 1 cited

On an equation involving fractional powers with prime numbers of a special type

Zhivko Petrov

We consider the equation $[p_{1}^{c}] + [p_{2}^{c}] + [p_{3}^{c}] = N$ , where $N$ is a sufficiently large integer, and prove that if $1 < c < \frac{17}{16}$ , then it has a solution…

math.NT2016

On an equation involving fractional powers with one prime and one almost prime variables

Zhivko Petrov, Doychin Tolev

In this paper we consider the equation $[p^{c}] + [m^{c}] = N$ , where $N$ is a sufficiently large integer, and prove that if $1 < c < \frac{29}{28}$ , then it has a solution in a pr…