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This article is cited in 1 scientific paper (total in 1 paper)
$(2+)$-Replication and the Baby Monster
Chris Cumminsa, Rodrigo Matiasb a Department of Mathematics and Statistics, Concordia University,
1455 de Maisonneuve Blvd Ouest, Montréal, H3G 1M8, Québec, Canada
b Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Portugal
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 Höhn, are completely $(2+)$-replicable.
Keywords:
moonshine; baby monster; replication.
Received: October 4, 2017; in final form May 31, 2018; Published online June 16, 2018
Citation:
Chris Cummins, Rodrigo Matias, “$(2+)$-Replication and the Baby Monster”, SIGMA, 14 (2018), 060, 33 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1359 https://www.mathnet.ru/eng/sigma/v14/p60
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Abstract page: | 262 | Full-text PDF : | 33 | References: | 18 |
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