Matt Tyler

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-adic Properties of Hauptmoduln with Applications to Moonshine

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math.NT2024

Asymptotics for $t$ -Core Partitions and Stanton's Conjecture

Matthew Tyler

A partition is a $t$ -core partition if $t$ is not one of its hook lengths. Let $c_{t} (N)$ be the number of $t$ -core partitions of $N$ . In 1999, Stanton conjectured $c_t(N) \le c_{t+1…

math.NT2018★ 1 cited

$p$ -adic Properties of Hauptmoduln with Applications to Moonshine

Ryan C. Chen, Samuel Marks, Matthew Tyler

The theory of monstrous moonshine asserts that the coefficients of Hauptmoduln, including the $j$ -function, coincide precisely with the graded characters of the monster module, an…

Asymptotics for t-Core Partitions and Stanton's Conjecture

p-adic Properties of Hauptmoduln with Applications to Moonshine

Asymptotics for $t$ -Core Partitions and Stanton's Conjecture

$p$ -adic Properties of Hauptmoduln with Applications to Moonshine