Rational Hauptmoduls are Replicable

Rational Hauptmoduls are Replicable

It is shown that if ƒ is a Hauptmodul with rational integer coefficients for a group G < PGL2(ℚ)+, of genus zero, containing a with finite index and z ⟼ z+k precisely when k is an integer, then ƒ is replicable. Examples of such functions are given by the Moonshine functions described by Conway an...

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Veröffentlicht in:Canadian journal of mathematics 1995-12, Vol.47 (6), p.1201-1218
Hauptverfasser: Cummins, C. J., Norton, S. P.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is shown that if ƒ is a Hauptmodul with rational integer coefficients for a group G < PGL2(ℚ)+, of genus zero, containing a with finite index and z ⟼ z+k precisely when k is an integer, then ƒ is replicable. Examples of such functions are given by the Moonshine functions described by Conway and Norton [CN].
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-1995-061-1