Square-free values of random polynomials

Browning TD, Shparlinski IE. 2024. Square-free values of random polynomials. Journal of Number Theory. 261, 220–240.

Download (ext.)

Journal Article | Epub ahead of print | English

Scopus indexed
Author
Browning, Timothy DISTA ; Shparlinski, Igor E.
Department
Abstract
The question of whether or not a given integral polynomial takes infinitely many square-free values has only been addressed unconditionally for polynomials of degree at most 3. We address this question, on average, for polynomials of arbitrary degree.
Publishing Year
Date Published
2024-04-02
Journal Title
Journal of Number Theory
Volume
261
Page
220-240
ISSN
IST-REx-ID

Cite this

Browning TD, Shparlinski IE. Square-free values of random polynomials. Journal of Number Theory. 2024;261:220-240. doi:10.1016/j.jnt.2024.02.013
Browning, T. D., & Shparlinski, I. E. (2024). Square-free values of random polynomials. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2024.02.013
Browning, Timothy D, and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.” Journal of Number Theory. Elsevier, 2024. https://doi.org/10.1016/j.jnt.2024.02.013.
T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,” Journal of Number Theory, vol. 261. Elsevier, pp. 220–240, 2024.
Browning TD, Shparlinski IE. 2024. Square-free values of random polynomials. Journal of Number Theory. 261, 220–240.
Browning, Timothy D., and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.” Journal of Number Theory, vol. 261, Elsevier, 2024, pp. 220–40, doi:10.1016/j.jnt.2024.02.013.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):

Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data ISTA Research Explorer

Sources

arXiv 2305.15493

Search this title in

Google Scholar