On a symmetric space attached to polyzeta values.

Olivier Mathieu (1)

1 AGL - Algèbre, géométrie, logique

Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas involve an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatoric has a very simple geometric interpretation: it corresponds with the map p -> p² on a certain symmetric space P.

Domaines: Théorie des nombres [math.NT]

Olivier Mathieu. On a symmetric space attached to polyzeta values.. 2008. ⟨hal-00327162⟩