Sammy Luo

activity

20152025

most citedThe Saxl Conjecture for Fourth Powers via the Semigroup Property

10 citations · 13 across the 18 of their papers we have counts for

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math.NT2017★ 2 cited

Bounded gaps between primes in short intervals

Ryan Alweiss, Sammy Luo

Baker, Harman, and Pintz showed that a weak form of the Prime Number Theorem holds in intervals of the form $[x - x^{0.525}, x]$ for large $x$ . In this paper, we extend a result of Ma…

math.NT2016

Short Zero-Sum Sequences Over Abelian $p$ -Groups of Large Exponent

Sammy Luo

Let $G$ be a finite abelian group with exponent $n$ . Let $η (G)$ denote the smallest integer $ℓ$ such that every sequence over $G$ of length at least $ℓ$ has a zero-sum subseq…

Bounded gaps between primes in short intervals

Short Zero-Sum Sequences Over Abelian p-Groups of Large Exponent

Short Zero-Sum Sequences Over Abelian $p$ -Groups of Large Exponent