Evaluations of a class of double 𝐿-values

Author:

Terhune David

Abstract

An analytic proof of an evaluation theorem for the “convolution"-type double L L -values of non-principal characters is given. Along the way, Dirichlet character analogues of generalized single and double polylogarithms are defined. The monodromies of these functions play a pivotal role.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. On multiple 𝐿-values;Arakawa, Tsuneo;J. Math. Soc. Japan,2004

2. Central binomial sums, multiple Clausen values, and zeta values;Borwein, Jonathan Michael;Experiment. Math.,2001

3. Evaluation of triple Euler sums;Borwein, Jonathan M.;Electron. J. Combin.,1996

4. Multiple polylogarithms, cyclotomy and modular complexes;Goncharov, A. B.;Math. Res. Lett.,1998

5. Classical polylogarithms;Hain, Richard M.,1994

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS;International Journal of Number Theory;2011-09

2. Functional relations and special values of Mordell-Tornheim triple zeta and -functions;Proceedings of the American Mathematical Society;2008-02-21

3. Euler sums with Dirichlet characters;Acta Arithmetica;2007

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