John C. Baez, J. Daniel Christensen, and Sam Derbyshire, “The Beauty of Roots,” Notices of the American Mathematical Society, Oct. 2023, doi: 10.1090/noti2789. [Online]. Available at: https://www.ams.org/journals/notices/202309/noti2789/noti2789.html?adat=October%202023&trk=2789&galt=none&cat=feature&pdfissue=202309&pdffile=rnoti-p1495.pdf
@article{baez_beauty_2023,
title = {The {Beauty} of {Roots}},
url = {https://www.ams.org/journals/notices/202309/noti2789/noti2789.html?adat=October%202023&trk=2789&galt=none&cat=feature&pdfissue=202309&pdffile=rnoti-p1495.pdf},
doi = {10.1090/noti2789},
journal = {Notices of the American Mathematical Society},
author = {Baez, John C. and Christensen, J. Daniel and Derbyshire, Sam},
month = oct,
year = {2023},
freepdf = {https://www.ams.org/journals/notices/202309/rnoti-p1495.pdf},
website = {https://johncarlosbaez.wordpress.com/2011/12/11/the-beauty-of-roots/},
tldr = {A 'Short Stories' paper, 3 pages. Considers Littlewood polynomials (each coefficient is +1 or -1) of degree n, and the patterns that arise from plotting the set of all roots for a particular degree. Note: Figures are plots of the complex plane, with the intensity proportional to the number of roots at that point. The plots resemble a unit circle with fractal patterns on the circle's boundary. Subject area is outside of my regular reading; I enjoyed the article.}
}
tl;dr: A ’Short Stories’ paper, 3 pages. Considers Littlewood polynomials (each coefficient is +1 or -1) of degree n, and the patterns that arise from plotting the set of all roots for a particular degree. Note: Figures are plots of the complex plane, with the intensity proportional to the number of roots at that point. The plots resemble a unit circle with fractal patterns on the circle’s boundary. Subject area is outside of my regular reading; I enjoyed the article.
The Beauty of Roots.
John C. Baez, J. Daniel Christensen, and Sam Derbyshire.
Publisher: http://doi.org/10.1090/noti2789
h/t Amy Tabbpdf: https://www.ams.org/journals/notices/202309/rnoti-p1495.pdf
web: https://johncarlosbaez.wordpress.com/2011/12/11/the-beauty-of-roots/