Higher Mahler measures and zeta functions

Details Higher Mahler measures and zeta functions Higher Mahler measures and zeta functions

2009-08-03

arxiv.org/abs/0908.0171v1

Acta Arith. 135 (2008), no. 3, 269--297

Mathematics

Number Theory

Scientific paper

10.4064/aa135-3-5

We consider a generalization of the Mahler measure of a multivariable polynomial $P$ as the integral of $\log^k|P|$ in the unit torus, as opposed to the classical definition with the integral of $\log|P|$. A zeta Mahler measure, involving the integral of $|P|^s$, is also considered. Specific examples are computed, yielding special values of zeta functions, Dirichlet $L$-functions, and polylogarithms.

Affiliated with

Also associated with

No associations

Rating

Higher Mahler measures and zeta functions 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 Higher Mahler measures and zeta functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Mahler measures and zeta functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453259