O. Gorodetsky

activity

20162026

most citedq-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

30 citations · 110 across the 33 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.NT2022

Smooth integers and de Bruijn's approximation $Λ$

Ofir Gorodetsky

This paper is concerned with the relationship of $y$ -smooth integers and de Bruijn's approximation $Λ (x, y)$ . Under the Riemann hypothesis, Saias proved that the count of $y$ -smooth…

math.CO2022

Smooth permutations and polynomials revisited

Ofir Gorodetsky

We study the counts of smooth permutations and smooth polynomials over finite fields. For both counts we prove an estimate with an error term that matches the error term found in t…

math.NT2022

Smooth integers and the Dickman $ρ$ function

Ofir Gorodetsky

We establish an asymptotic formula for $Ψ (x, y)$ whose shape is $x ρ (lo g x / lo g y)$ times correction factors. These factors take into account the contributions of zeta zeros and pr…

math.NT2022★ 4 cited

Uniform estimates for smooth polynomials over finite fields

Ofir Gorodetsky

We establish new estimates for the number of $m$ -smooth polynomials of degree $n$ over a finite field $F_{q}$ , where the main term involves the number of $m$ -smooth permutat…

Smooth integers and de Bruijn's approximation Λ

Smooth permutations and polynomials revisited

Smooth integers and the Dickman ρ function

Uniform estimates for smooth polynomials over finite fields

Smooth integers and de Bruijn's approximation $Λ$

Smooth integers and the Dickman $ρ$ function