Integers without divisors from a fixed arithmetic progression

William D. Banks; John B. Friedlander; Florian Luca

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Integers without divisors from a fixed arithmetic progression

William D. Banks·John B. Friedlander·Florian Luca

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Abstract

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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William D. Banks, John B. Friedlander, Florian Luca. 2006-04-03. Integers without divisors from a fixed arithmetic progression. https://arxiv.org/abs/math/0604036

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