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Mahler Measure in Mobile
January 5-8, 2006
University of South Alabama
Mobile, AL, USA

Organizers
Susan Williams, Dan Silver, Michael Mossinghoff, Eriko Hironaka, Abhijit Champanerkar

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Explicit formulas for three-variable Mahler measures, and some related integrals.
by
Mathew Rogers
University of British Columbia

We will discuss several new formulas for three-variable Mahler measures. For example, we can show that m(x+(1+x)2+z(1+x+y)2) = [28/(5p2)]z(3)+ log([((1+Ö5))/2]). The identities are proved by relating Mahler measures to hypergeometric functions.

Date received: December 15, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cary-15.