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20182026
most citedDiagonal Ramsey via effective quasirandomness

6 citations · 11 across the 17 of their papers we have counts for

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Showing 2019Show all

8 papers · 1 filter

math.NT2019

An improved bound on the least common multiple of polynomial sequences

Ashwin Sah

Cilleruelo conjectured that if of degree is irreducible over the rationals, then as $N\to\in…

math.CO2019

Supertrees

Colin Defant, Noah Kravitz, Ashwin Sah

A -universal permutation, or -superpermutation, is a permutation that contains all permutations of length as patterns. The problem of finding the minimum length of a -…

math.NT2019

Patterns of primes in the Sato-Tate conjecture

Nate Gillman, Michael Kural, Alexandru Pascadi +2

Fix a non-CM elliptic curve , and let denote the trace of Frobenius at . 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 is a number field and is any…

math.CO2019

Number of arithmetic progressions in dense random subsets of

Ross Berkowitz, Ashwin Sah, Mehtaab Sawhney

We examine the behavior of the number of -term arithmetic progressions in a random subset of . We prove that if a set is chosen by including each element…

math.CO2019

Linear extension numbers of -element posets

Noah Kravitz, Ashwin Sah

We address the following natural but hitherto unstudied question: what are the possible linear extension numbers of an -element poset? Let denote the set of all…