Aplicacion de la descomposicion racional univariada a monstrous moonshine (in Spanish)
نویسندگان
چکیده
This paper shows how to use Computational Algebra techniques, namely the decomposition of rational functions in one variable, to explore a certain set of modular functions, called replicable functions, that arise in Monstrous Moonshine. This is an active topic in Mathematics that links the Monster group and complex analysis due to a surprising relation between the character table of the Monster and the coefficients of the expansions of certain modular functions. In particular, we have computed all the rational relations with coefficients in Z between pairs of replicable functions.
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