Mahler’s Measure and the Dilogarithm (ii)

  title={Mahler’s Measure and the Dilogarithm (ii)},
  author={Nathan M. Dunfield},
We continue to investigate the relation between the Mahler measure of certain two variable polynomials, the values of the Bloch–Wigner dilogarithm D(z) and the values ζF (2) of zeta functions of number fields. Specifically, we define a class A of polynomials A with the property that π m(A) is a linear combination of values D at algebraic arguments. For many polynomials in this class the corresponding argument of D is in the Bloch group, which leads to formulas expressing π m(A) as a linear… CONTINUE READING
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