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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Evaluations of a class of double $L$-values
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by David Terhune PDF
Proc. Amer. Math. Soc. 134 (2006), 1881-1889 Request permission

Abstract:

An analytic proof of an evaluation theorem for the “convolution"-type double $L$-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.
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Additional Information
  • David Terhune
  • Affiliation: Department of Mathematics, The Pennsylvania State University, 109 McAllister Building, University Park, Pennsylvania 16802
  • Received by editor(s): August 27, 2004
  • Received by editor(s) in revised form: February 9, 2005
  • Published electronically: December 19, 2005
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 1881-1889
  • MSC (2000): Primary 11M41; Secondary 11B68, 11B75, 11Y35, 33E20
  • DOI: https://doi.org/10.1090/S0002-9939-05-08261-4
  • MathSciNet review: 2215115