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Publications (5)

math.NT2020

On binomial coefficients associated with SierpiÅski and Riesel numbers

Ashley Armbruster, Grace Barger, Sofya Bykova +5

In this paper, we investigate the existence of SierpiÅski numbers and Riesel numbers as binomial coefficients. We show that for any odd positive integer $r$ , there exist infinitel…

math.CO2021

Distance in Latin Squares

Omar Aceval, Paige Beidelman, Jieqi Di +4

A Latin square of order $n$ is an $n \times n$ array which contains $n$ distinct symbols exactly once in each row and column. We define the adjacent distance between two adjacent ce…

math.CO2026

A symmetric multivariate Elekes-RÃ³nyai theorem

Yewen Sun

We consider a polynomial $P \in R [x_{1}, \dots, x_{d}]$ of degree $I^´$ that depends non-trivially on each of $x_{1}, ..., x_{d}$ with $d \geq 2$ . For any integer $t$ with $2\leq…

cs.LG2026

Humanity's Last Exam

Long Phan, Alice Gatti, Ziwen Han +1144

Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…

math.NT2021

Covering systems with odd moduli

Joshua Harrington, Yewen Sun, Wing Hong Tony Wong

The concept of a covering system was first introduced by ErdÅs in 1950. Since their introduction, a lot of the research regarding covering systems has focused on the existence of…