English

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

Number Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0409377,
  title  = {On the g.c.d. of an infinite number of integers},
  author = {T. N. Venkataramana},
  journal= {arXiv preprint arXiv:math/0409377},
  year   = {2007}
}

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9 pages