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arxiv: math/0409377 · v1 · submitted 2004-09-21 · 🧮 math.NT

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

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keywords arithmeticcertaininfiniteintegersnumberassociatedboundedbounds
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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.

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