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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums
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by D. H. Bailey and J. M. Borwein PDF
Math. Comp. 85 (2016), 295-324 Request permission

Abstract:

This paper extends tools developed to study character polylogarithms. These objects are used to compute Mordell–Tornheim–Witten character sums and to explore their connections with multiple-zeta values (MZVs) and with their character analogues.
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Additional Information
  • D. H. Bailey
  • Affiliation: Lawrence Berkeley National Lab (retired), Berkeley, California 94720 – and – Department of Computer Science, University of California, Davis, Davis, California 95616
  • MR Author ID: 29355
  • Email: david@davidhbailey.com
  • J. M. Borwein
  • Affiliation: CARMA, University of Newcastle, NSW 2303, Australia
  • Email: jon.borwein@gmail.com
  • Received by editor(s): February 25, 2014
  • Received by editor(s) in revised form: June 9, 2014, and June 18, 2014
  • Published electronically: June 3, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Math. Comp. 85 (2016), 295-324
  • MSC (2010): Primary 11L40, 33F05
  • DOI: https://doi.org/10.1090/mcom/2974
  • MathSciNet review: 3404451