3 citations · 8 across the 8 of their papers we have counts for
9 papers
Diophantine approximation by Piatetski-Shapiro primes
S. I. Dimitrov
Let be the floor function. In this paper we show that whenever is real, the constants satisfy some necessary conditions, then for any fixed ther…
On an logarithmic equation by primes
S. I. Dimitrov
Let be the floor function. In this paper we show that every sufficiently large positive integer can be represented in the form \begin{equation*} N=[p_1\log p_1]+…
A logarithmic inequality involving prime numbers
S. I. Dimitrov
Assume that is a sufficiently large positive number. In this paper we show that for a small constant , the logarithmic inequality \begin{equation*} \big|p_1\log…
On an equation with prime numbers close to squares
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 \begin{equ…
A ternary diophantine inequality by primes near to squares
S. I. Dimitrov
Let be fixed with . In this paper we prove that for every sufficiently large real number and a small constant , the diophantine inequality \begin{…
Consecutive square-free values of the form
S. I. Dimitrov
In this short paper we shall prove that there exist infinitely many consecutive square-free numbers of the form , , where is prime and is irrational algebra…