Integers without divisors from a fixed arithmetic progression

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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.
37 pages

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Number Theory, 11A05, 11A25, 11N37

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http://salesiana.dossiersoluciones.com/handle/123456789/111422

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604036
 http://arxiv.org/abs/math/0604036

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arXiv