Matt Tyler

collaborators

3 papers

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

$p$ -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…

math.NA2018

The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach spaces

Ignacio Muga, Matthew J. W. Tyler, Kristoffer G. van der Zee

We propose and analyse a minimal-residual method in discrete dual norms for approximating the solution of the advection-reaction equation in a weak Banach-space setting. The weak f…

Asymptotics for t-Core Partitions and Stanton's Conjecture

p-adic Properties of Hauptmoduln with Applications to Moonshine

The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach spaces

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

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