Integers without divisors from a fixed arithmetic progression

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Integers without divisors from a fixed arithmetic progression

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. MSC numbers: 11A05, 11A25, 11N37

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ژورنال

عنوان ژورنال: Forum Mathematicum

سال: 2008

ISSN: 0933-7741,1435-5337

DOI: 10.1515/forum.2008.045