The McKay-Thompson series of Mathieu Moonshine modulo two
Number Theory
2025-10-13 v3
Abstract
In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan and Harvey stated in connection with Umbral moonshine for the case of Mathieu moonshine.
Keywords
Cite
@article{arxiv.1211.3703,
title = {The McKay-Thompson series of Mathieu Moonshine modulo two},
author = {Thomas Creutzig and Gerald Höhn and Tsuyoshi Miezaki},
journal= {arXiv preprint arXiv:1211.3703},
year = {2025}
}
Comments
12 pages, to be published in Ramanujan Journal