Mathematics – Number Theory
Scientific paper
2008-05-15
Proceedings of the 2004 Encuentro de Algebra Computacional y Aplicaciones (EACA), p. 289-294. ISBN 84-688-6988-04
Mathematics
Number Theory
6 pages, In Spanish
Scientific paper
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.
McKay John
Sevilla David
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