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

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Showing 2022 · math.NTShow all

3 papers · 2 filters

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.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 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