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Evaluations of a class of double  -values
Author:
David Terhune
Journal:
Proc. Amer. Math. Soc. 134 (2006), 1881-1889
MSC (2000):
Primary 11M41; Secondary 11B68, 11B75, 11Y35, 33E20
Posted:
December 19, 2005
MathSciNet review:
2215115
Full-text PDF Free Access
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Additional Information
Abstract: An analytic proof of an evaluation theorem for the ``convolution"-type double  -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.
References
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Additional Information
David Terhune
Affiliation:
Department of Mathematics, The Pennsylvania State University, 109 McAllister Building, University Park, Pennsylvania 16802
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08261-4
PII:
S 0002-9939(05)08261-4
Keywords:
Multiple $L$-values,
multiple zeta values,
generalized multiple polylogarithm
Received by editor(s):
August 27, 2004
Received by editor(s) in revised form:
February 9, 2005
Posted:
December 19, 2005
Communicated by:
Wen-Ching Winnie Li
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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