No CrossRef data available.
Article contents
Omega results for the error term in the square-free divisor problem for square-full integers
Published online by Cambridge University Press: 20 March 2024
Abstract
In this paper, we investigate the distributive properties of square-free divisors over square-full integers. We first compute the mean value of the number of such divisors and obtain the error term which appears in its asymptotic formula. We then show that if one assumes the Riemann Hypothesis, then the omega estimate of such an error term can be drastically improved. Finally, we compute the omega estimate of the mean square of such an error term.
Keywords
MSC classification
- Type
- Article
- Information
- Copyright
- © The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society