abstract:In number theory, an Euler product is an expansion of a Dirichlet series into an infinite product indexed by prime numbers. The name arose from the case of the Riemann zeta-function, where such a product representation was proved by Leonhard Euler.
ThehigherEuleroperators, the totalinnerproductand the total homotopyoperatorconstructedforproving the exactness of the horizontalcomplexarethe mostimportantresults of this thesis.