The Algebra of Hurwitz Multizeta Functions

Abstract

Multizeta values are real numbers which span a complicated algebra: there exist two different interacting products. A functional analog of these numbers is defined so as to obtain a better understanding of them, the Hurwitz multizeta functions, which span an algebra for which a precise description is wanted. In this note, we prove that the algebra of Hurwitz multizeta functions is a polynomial algebra.