Non-moonshine-likeness conjecture for the completely replicable function 9a
Non-moonshine-likeness conjecture for the completely replicable function 9a
Let
be the indicated completely replicable function. Non-moonshine-likeness conjecture for . The function is non-moonshine-like. Establishing this would remove the remaining possible primitive exception in the paper's characterization of moonshine-like functions. The paper proves that all primitive non-monstrous functions except possibly are non-moonshine-like, and that all non-monstrous functions except possibly , , and are non-moonshine-like.
Sources & referencesView supporting material
Primary source
Scott Carnahan, Takahiro Komuro and Satoru Urano, “Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions”, arXiv:1712.10160 (2018).
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