Article
Licensed
Unlicensed
Requires Authentication
Integers without divisors from a fixed arithmetic progression
-
William D. Banks
Published/Copyright:
December 15, 2008
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.
Received: 2006-08
Published Online: 2008-12-15
Published in Print: 2008-November
© de Gruyter 2008
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Inequalities for Euler's gamma function
- Integers without divisors from a fixed arithmetic progression
- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
- Gödel incompleteness in AF C*-algebras
- Quasi-regular Dirichlet forms on Riemannian path and loop spaces
- Divided differences and generalized Taylor series
- A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
Articles in the same Issue
- Inequalities for Euler's gamma function
- Integers without divisors from a fixed arithmetic progression
- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
- Gödel incompleteness in AF C*-algebras
- Quasi-regular Dirichlet forms on Riemannian path and loop spaces
- Divided differences and generalized Taylor series
- A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
