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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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A character sum for root system $G_ 2$
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by Ronald Evans PDF
Proc. Amer. Math. Soc. 114 (1992), 627-635 Request permission

Abstract:

A character sum analog of the Macdonald-Morris constant term identity for the root system ${G_2}$ is proved. The proof is based on recent evaluations of Selberg character sums and on a character sum analog of Dixon’s summation formula. A conjectural evaluation is presented for a related sum.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 627-635
  • MSC: Primary 11L05; Secondary 11T24, 17B20, 17B25, 33C80
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1073525-1
  • MathSciNet review: 1073525