S. Dimitrov

activity

20162023

most citedA logarithmic inequality involving prime numbers

3 citations · 18 across the 30 of their papers we have counts for

collaborators

30 papers

math.NT2023

Consecutive square-free values for some polynomials

S. I. Dimitrov

In this paper we study the distribution of consecutive square-free numbers of the forms $x^{2} + y^{2} + z + 1$ , $x^{2} + y^{2} + z + 2$ and $x^{2} + y^{2} + z^{2} + z + 1$ , $x^{2} + y^{2} + z^{2} + z + 2$ , respectively. We esta…

math.CO2022★ 2 cited

A combinatorial proof of a symmetry for a refinement of the Narayana numbers

Miklós Bóna, Stoyan Dimitrov, Gilbert Labelle +4

We establish a tantalizing symmetry of certain numbers refining the Narayana numbers. In terms of Dyck paths, this symmetry is interpreted in the following way: if $w_{n, k, m}$ is t…

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.CO2022

Chess tableaux, powers of two and affine Lie algebras

Antoine Labelle, Stoyan Dimitrov

Chess tableaux are a special kind of standard Young tableaux where, in the chessboard coloring of the Young diagram, even numbers always appear in white cells and odd numbers in bl…

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…

Consecutive square-free values for some polynomials

A combinatorial proof of a symmetry for a refinement of the Narayana numbers

Exponential sums over Piatetski-Shapiro primes in arithmetic progressions

Chess tableaux, powers of two and affine Lie algebras

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 $n^{2} + n + 1$