Polynomials with Small Elliptic Mahler Measure Via Genetic Algorithms (virtual talk over Zoom) John Michael Clark, OSU The seminar will be conducted over Zoom. If you are interested in attending this talk, please e-mail paul.fili at okstate to be included.
Abstract: For a minimal polynomial $f$ we denote by $M(f)$ the Mahler measure of the roots of $f$. The classical Lehmer conjecture is concerned with finding a definitive lower bound for $M(f)$. Lehmer's polynomial is known to have the lowest Mahler measure for all polynomials. We look at a version of Lehmer's conjecture involving elliptic curves and investigate the corresponding Mahler measures, looking for those polynomials with minimal Mahler measure on various elliptic curves. We detail the results we have found using genetic algorithms. This is a master's thesis defense.
The seminar will be conducted over Zoom. You can download a Zoom client for your mobile device, or for your PC from https://zoom.us/. If you are interested in attending this talk, please e-mail paul.fili at okstate to be included on the e-mail list. You will receive an e-mail with the meeting ID on Tuesday morning before the talk.
To add/edit talks, please log in on the department web page, then return to Announce. Alternatively if you know the Announce
username/password, click the link below: