Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I have not put much effort into this question but I have thought about it for a year or so. Is there such thing as a "logarithmic determinant"? The starting point for this is that the determinant of the Redheffer matrix gives the Mertens function in number theory. One can take a subset of the Redheffer matrix and then get each term of the Möbius function as a determinant.

Since the Dirichlet series for the Möbius function can be defined as a binomial series and the logarithm of the Riemann zeta function has a Dirichlet series that can be defined from a Taylor series, my question is:

Matrix inversion is to determinants as matrix logarithm is to what?

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.