Mahler measure under variations of the base group

Details Mahler measure under variations of the base group Mahler measure under variations of the base group

2007-02-13

arxiv.org/abs/math/0702394v1

Forum Math. 21 (2009), no. 4, 621--637

Mathematics

Number Theory

21 pages

Scientific paper

10.1515/FORUM.2009.031

We study properties of a generalization of the Mahler measure to elements in group rings, in terms of the Lueck-Fuglede-Kadison determinant. Our main focus is the variation of the Mahler measure when the base group is changed. In particular, we study how to obtain the Mahler measure over an infinite group as limit of Mahler measures over finite groups, for example, in the classical case of the free abelian group or the infinite dihedral group, and others.

Affiliated with

Also associated with

No associations

Rating

Mahler measure under variations of the base group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mahler measure under variations of the base group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mahler measure under variations of the base group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-209888