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A028520
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Character of extremal vertex operator algebra of rank 48.
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2
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1, 0, 1, 42987520, 40491909396, 8504046600192, 802981794805760, 45134786619187200, 1748627440235850690, 50995654778821050368, 1186243544863135973376, 22919825576889573027840, 378899952498119982698200, 5481261425027249309859840
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OFFSET
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-2,4
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COMMENTS
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On top of page 72 of [Hoehn 1995] is "Table 5.1: Charaktere der extremalen VOAs fur die Range c = 8, 16, ..., 48 und 72". The 6th line of the table is "c = 48: q^(-2)(1 + q^2 + 42987520q^3 + 40491909396q^4 + 8504046600192q^5 + ...)". - Michael Somos, Aug 15 2018
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REFERENCES
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G. Hoehn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.
F. L. Williams, The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant, A Window Into Zeta and Modular Physics, MSRI Publications, Vol. 57, 2010.
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LINKS
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G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).
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FORMULA
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EXAMPLE
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G.f. = q^-2 + 1 + 42987520q + 40491909396q^2 + 8504046600192q^3 + ... - Michael Somos, Aug 15 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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