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DISTRIBUTION OF THE DIVISOR FUNCTION AT CONSECUTIVE INTEGERS

Part of: Multiplicative number theory

Published online by Cambridge University Press:  09 September 2020

ELCHIN HASANALIZADE Open the ORCID record for ELCHIN HASANALIZADE [Opens in a new window]
ELCHIN HASANALIZADE*
Affiliation:
Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, Canada
*
e-mail: e.hasanalizade@uleth.ca
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Abstract

In this paper we sharpen Hildebrand’s earlier result on a conjecture of Erdős on limit points of the sequence ${\{d(n)/d(n+1)\}}$.

Keywords

divisor functionalmost primesErdős–Mirsky conjecture

MSC classification

Primary: 11N36: Applications of sieve methods
Secondary: 11N37: Asymptotic results on arithmetic functions

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 2 , April 2021 , pp. 244 - 247
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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References

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