Evaluations of multiple Dirichlet $L$-values via symmetric functions

Details Evaluations of multiple Dirichlet $L$-values via symmetric functions Evaluations of multiple Dirichlet $L$-values via symmetric functions

2007-12-11

arxiv.org/abs/0712.1639v2

J. Number Theory, 129 (2009) 2369-2386

Mathematics

Number Theory

18 pages

Scientific paper

We explicitly evaluate a special type of multiple Dirichlet $L$-values at positive integers in two different ways: One approach involves using symmetric functions, while the other involves using a generating function of the values. Equating these two expressions, we derive several summation formulae involving the Bernoulli and Euler numbers. Moreover, values at non-positive integers, called central limit values, are also studied.

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