Ashwin Sah

activity

20182022

most citedDiagonal Ramsey via effective quasirandomness

6 citations · 9 across the 13 of their papers we have counts for

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2022

Enumerating coprime permutations

Ashwin Sah, Mehtaab Sawhney

Define a permutation $σ$ to be coprime if $g cd (m, σ (m)) = 1$ for $m \in [n]$ . In this note, proving a recent conjecture of Pomerance, we prove that the number of coprime permutations…

math.NT2019

An improved bound on the least common multiple of polynomial sequences

Ashwin Sah

Cilleruelo conjectured that if $f \in Z [x]$ of degree $d \geq 2$ is irreducible over the rationals, then $lo g lcm (f (1), \dots, f (N)) \sim (d - 1) N lo g N$ as $N\to\in…

math.NT2019

Patterns of primes in the Sato-Tate conjecture

Nate Gillman, Michael Kural, Alexandru Pascadi +2

Fix a non-CM elliptic curve $E / Q$ , and let $a_{E} (p) = p + 1 - # E (F_{p})$ denote the trace of Frobenius at $p$ . The Sato-Tate conjecture gives the limiting distribut…

math.NT2019

Möbius formulas for densities of sets of prime ideals

Michael Kural, Vaughan McDonald, Ashwin Sah

We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if $K$ is a number field and $S$ is any…