Broadhurst and Kreimer proposed a Poincare series for the algebra of multiple zeta values based on large scale numerical computations. In this talk, I will explain how the coefficients in their series are related to period polynomials and to structural properties of the formal multizeta value (double shuffle) Lie algebra.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246