A Weight-Depth Theorem for a Class of Multiple L-values

Details A Weight-Depth Theorem for a Class of Multiple L-values A Weight-Depth Theorem for a Class of Multiple L-values

2005-06-30

arxiv.org/abs/math/0506628v2

Mathematics

Number Theory

Scientific paper

An arbitrary-depth reduction theorem for the `convolution' multiple L-values of Euler-Zagier type is proven by an analytic method. To this end, generalized polylogarithms associated to Dirichlet characters are defined. The proof uses the monodromies of these functions and the parities of generating functions of generalized Bernoulli numbers. Some general formulas for resulting reductions in the depth 2 case are provided.

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