Higher Mahler measure for cyclotomic polynomials and Lehmer's question

Details Higher Mahler measure for cyclotomic polynomials and Lehmer's question Higher Mahler measure for cyclotomic polynomials and Lehmer's question

2011-06-07

arxiv.org/abs/1106.1304v1

Mathematics

Number Theory

Scientific paper

The $k$-higher Mahler measure of a nonzero polynomial $P$ is the integral of
$\log^k|P|$ on the unit circle. In this note, we consider Lehmer's question
(which is a long-standing open problem for $k=1$) for $k>1$ and find some
interesting formulae for 2- and 3-higher Mahler measure of cyclotomic
polynomials.

Affiliated with

Also associated with

No associations

Rating

Higher Mahler measure for cyclotomic polynomials and Lehmer's question 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 measure for cyclotomic polynomials and Lehmer's question, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Mahler measure for cyclotomic polynomials and Lehmer's question will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-26399