Completely replicable functions and symmetries

Heim, Bernhard; Murase, Atsushi

doi:10.1007/s12188-019-00212-9

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Completely replicable functions and symmetries

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Heim, Bernhard
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s12188-019-00212-9
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Citation

Heim, B., & Murase, A. (2019). Completely replicable functions and symmetries. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 89(2), 169-177. doi:10.1007/s12188-019-00212-9.

Cite as: http://hdl.handle.net/21.11116/0000-0005-5619-F

Abstract

Completely replicable functions play an important role in number theory and finite group theory, in particular the Monstrous Moonshine. In this paper, we give a characterization of completely replicable functions by certain symmetries.