S. Dimitrov

activity

20162023

most citedA logarithmic inequality involving prime numbers

3 citations · 13 across the 19 of their papers we have counts for

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Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022★ 2 cited

Exponential sums over Piatetski-Shapiro primes in arithmetic progressions

S. I. Dimitrov

Let $γ < 1 < c$ and $19 (c - 1) + 171 (1 - γ) < 9$ . In this paper, we establish an asymptotic formula for exponential sums over Piatetski-Shapiro primes $p = [n^{1/ γ}]$ in arithmetic progressions.

math.NT2022★ 1 cited

Primes of the form $[n^{c}]$ with square-free $n$

S. I. Dimitrov

Let $[\cdot]$ be the floor function. In this paper we show that when $1 < c < \frac{3849}{3334}$ , then there exist infinitely many prime numbers of the form $[n^{c}]$ , where $n$ is…

math.NT2022

Square-free values of $n^{2} + n + 1$

S. I. Dimitrov

In this paper we show that there exist infinitely many square-free numbers of the form $n^{2} + n + 1$ . We achieve this by deriving an asymptotic formula by improving the reminder term f…

Exponential sums over Piatetski-Shapiro primes in arithmetic progressions

Primes of the form [nc] with square-free n

Square-free values of n2+n+1

Primes of the form $[n^{c}]$ with square-free $n$

Square-free values of $n^{2} + n + 1$