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Integers without divisors from a fixed arithmetic progression

数论 2007-05-23 v1

摘要

Let a be an integer and q a prime number. In this paper, we find an asymptotic formula for the number of positive integers n < x with the property that no divisor d > 1 of n lies in the arithmetic progression a modulo q.

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引用

@article{arxiv.math/0604036,
  title  = {Integers without divisors from a fixed arithmetic progression},
  author = {William D. Banks and John B. Friedlander and Florian Luca},
  journal= {arXiv preprint arXiv:math/0604036},
  year   = {2007}
}

备注

37 pages