Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) Mathew Rogers - ,
Titre Mahler's measure and the WZ algorithm
Date29/03/2010
Horaire14:00 à 16:00
Diffusion
Résumehe Mahler measure of an n-dimensional Laurent polynomial, $P(x_1,...,x_n)$, is defined by \[m(P)=\int_{0}^{1}...\int_{0}^{1}\log|P(e^{2\pi i t_1},...,e^{2\pi i t_n})|dt_1...dt_n.\] There are many conjectured relations between number-theoretic constants and Mahler measures of polynomials. In this talk, I will show how to use the Wilf-Zeilberger algorithm to (re)prove several formulas involving Mahler measures. I will also mention connections with elliptic dilogarithms. This is joint workwith Jes\'{u}s Guillera.
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