Alex G. Rice

activity

20242026

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2 papers · 1 filter

math.CO2024

Determinants of Seidel Tournament Matrices

Sarah Klanderman, MurphyKate Montee, Andrzej Piotrowski +2

The Seidel matrix of a tournament on $n$ players is an $n \times n$ skew-symmetric matrix with entries in ${0, 1, - 1}$ that encapsulates the outcomes of the games in the given tou…

math.NT2024

The Furstenberg-Sárközy theorem for polynomials in one or more prime variables

John R. Doyle, Alex Rice

We establish upper bounds on the size of the largest subset of ${1, 2, \dots, N}$ lacking nonzero differences of the form $h (p_{1}, \dots, p_{ℓ})$ , where $h\in \mathbb{Z}[x_1,\dots,x…