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arXiv · 0805.2311

Aplicacion de la descomposicion racional univariada a monstrous moonshine (in Spanish)

John McKay·David Sevilla
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Abstract

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. In particular, we have computed all the rational relations with coefficients in Z between pairs of replicable functions. ----- En este articulo mostramos como usar tecnicas de Algebra Computacional, concretamente la descomposcion de funciones racionales univariadas, para estudiar un cierto conjunto de funciones modulares, llamadas funciones replicables, que aparecen en Monstrous Moonshine. En concreto, hemos calculado todas las relaciones racionales con coeficientes en Z entre pares de funciones replicables.

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John McKay, David Sevilla. 2008-05-15. Aplicacion de la descomposicion racional univariada a monstrous moonshine (in Spanish). https://arxiv.org/abs/0805.2311

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