On multiple \(L\)-values (Q1768148)

Multiple zeta-values are certain iterated series over the set of positive integers. They occur naturally in combinatorics and number theory. Recently, connections have been found to other areas like knot theory, quantum groups, and algebraic geometry. Comparing the sum expression and an integral representation of multiple values one gets relations between products of these, known as shuffle relations. In the present paper, these relations are extended to cover Dirichlet L-series (thus the name of the paper) and even to non-convergent cases, where one has to use regularisation to state the results.