William J. Wesley

activity

20222026

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3 papers · 1 filter

math.CO2026

An elementary proof of the 2-regularity of Pythagorean triples

William J. Wesley

We give a new proof of the fact that every 2-coloring of the positive integers contains a monochromatic Pythagorean triple. This result was originally proven by Heule, Kullmann, an…

math.CO2026

The Fibonacci numbers are not 3-accessible

William J. Wesley

A $D$ -diffsequence is a sequence of integers $x_{1} < \dots < x_{k}$ such that $x_{i + 1} - x_{i} \in D$ for $1 \leq i \leq k - 1$ . The set $D$ is called $r$ -accessible if every $r$ -coloring of…

cs.AI2026

Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment

Stephen Chung, Wenyu Du, William J. Wesley

We study autonomous mathematical discovery in the Station, an open-world multi-agent environment in which AI agents from different model families pursue a shared research goal with…