Integers without divisors from a fixed arithmetic progression

Details Integers without divisors from a fixed arithmetic progression Integers without divisors from a fixed arithmetic progression

2006-04-03

arxiv.org/abs/math/0604036v1

Mathematics

Number Theory

37 pages

Scientific paper

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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