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arXiv · 1710.01071

(2+)-replication and the Baby Monster

Chris Cummins·Rodrigo Matias
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Abstract

The definitions of replicable and completely replicable functions are intimately related to the Hecke operators for the modular group. We define the notions of "$(2+)$-replicable" and "completely $(2+)$-replicable" functions by considering the Hecke operators for $\Gamma_0(2)^+$. We prove that the McKay-Thompson series for $2\cdot\mathbb{B}$, as computed by H\"ohn, are completely $(2+)$-replicable.

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BibTeXRIS

Chris Cummins, Rodrigo Matias. 2017-10-03. (2+)-replication and the Baby Monster. https://doi.org/10.3842/sigma.2018.060

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