Posted in

Speaker:

Jeffrey Vaaler
Affiliation:

The University of Texas at Austin
Date:

Thu, 2019-04-04 11:15 - 12:15
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar We prove a new lower bound for the Mahler measure of a polynomial in one and

in several variables that depends on the complex coefficients and the number of

monomials, but not on the degree. In one variable the lower bound generalizes a

classical inequality of Mahler. In M variables the inequality depends on Z^M as an

ordered group, and in general the lower bound depends on the choice of ordering. In

one variable the proof is elementary. In M variables the proof exploits an idea used

in earlier work of D. Boyd. The talk should be accessible to a general mathematical

audience. This is joint work with S. Akhtari.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |