Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic ℤ₃-extension of ℚ
Mahler measures in a cubic field
We prove that every cyclic cubic extension of the field of rational numbers contains algebraic numbers which are Mahler measures but not the Mahler measures of algebraic numbers lying in . This extends the result of Schinzel who proved the same statement for every real quadratic field . A corresponding conjecture is made for an arbitrary non-totally complex field and some numerical examples are given. We also show that every natural power of a Mahler measure is a Mahler measure.
Mahler's measure and special values of -functions.
Mahler's measure: proof of two conjectured formulae.
Minimal polynomials of algebraic numbers with rational parameters
Minimal polynomials of some beta-numbers and Chebyshev polynomials