Document Type
Article
Publication Date
12-5-2024
Abstract
We use an idea of Pólya and Szegö to give a common basis to Vieta’s formula, Fabius function and the partition function. Moreover our construction leads also to a function considered by Hallström, Bowen and Macintyre, which has, as a particular value, the Kepler-Bouwkamp constant, and to a function considered by Zondadari, that vanishes only at prime numbers.
Recommended Citation
Sebbar, A. (2024). Vieta’s Formula, the Fabius Function and the Partition Function. The American Mathematical Monthly, 1–14. https://doi.org/10.1080/00029890.2024.2421140
Peer Reviewed
1
Copyright
Taylor & Francis
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License
Comments
This is an Accepted Manuscript version of an article accepted for publication in
Sebbar, A. (2024). Vieta’s Formula, the Fabius Function and the Partition Function. The American Mathematical Monthly, 1–14. https://doi.org/10.1080/00029890.2024.2421140
It is deposited under the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited.