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math.DS2026
Monochromatic Almost-Pythagorean Quadruples
James Leng, Redmond McNamara, Andreas Mountakis
We prove that for any set with positive multiplicative upper density, there exist , , and in such that , generalizing a result of Frantzik…
math.NT2026
A new proof of two-color partition regularity of Pythagorean triples
James Leng
We give a new proof that if the natural numbers are colored in two colors, then there exists a monochromatic Pythagorean triple. The proof was found by ChatGPT Astra.