Lehmer conjecture and an improved lower bound for abelian height.
Starts 3 Nov 2011 15:00
Ends 3 Nov 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
Here we will introduce Mahler measure of Polynomials (and/or algebraic numbers) and Lehmer's Problem (known as Lehmer Conjecture). Then we will see some recent results toward lehmer problem and equivelent forms of lehmer problem, specially lehmer problem in terms of (logarithmic Weil height) heights of algebraic numbers. Also we will show an improved result of F. Amoroso (University of Torino, Italy) and R. Dvornicich (University of Pisa, Italy), of abelian height. Finally some interesting directions towards future work.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 firstname.lastname@example.org