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A new definition of the density of an integer sequence
Published online by Cambridge University Press: 09 April 2009
Abstract
The divisor density of an integer sequence is defined: this measures the tendency of divisors of (almost all) integers to belong to the sequence. A proof of a conjecture of Erdös is given and this is linked to some previous conjectures of the author's concerning distribution (mod 1) of functions of the divisors.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 26 , Issue 4 , December 1978 , pp. 487 - 500
- Copyright
- Copyright © Australian Mathematical Society 1978
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