On the g.c.d. of an infinite number of integers

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We prove that the gcd of certain infinite number of integers associated to generalised arithmetic progressions remains bounded independent of the progression. Using this we also get bounds on the indices of certain congruence subgroups of arithmetic groups.
9 pages

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Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/72557

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409377
 http://arxiv.org/abs/math/0409377

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arXiv