Weyl group multiple Dirichlet series for symmetrizable Kac-Moody root systems
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- by Kyu-Hwan Lee and Yichao Zhang PDF
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Abstract:
Weyl group multiple Dirichlet series, introduced by Brubaker, Bump, Chinta, Friedberg and Hoffstein, are expected to be Whittaker coefficients of Eisenstein series on metaplectic groups. Chinta and Gunnells constructed these multiple Dirichlet series for all the finite root systems using the method of averaging a Weyl group action on the field of rational functions. In this paper, we generalize Chinta and Gunnells’ work and construct Weyl group multiple Dirichlet series for the root systems associated with symmetrizable Kac-Moody algebras, and establish their functional equations and meromorphic continuation.References
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Additional Information
- Kyu-Hwan Lee
- Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
- MR Author ID: 650497
- Email: khlee@math.uconn.edu
- Yichao Zhang
- Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
- MR Author ID: 881604
- Email: yichao.zhang@uconn.edu
- Received by editor(s): October 10, 2012
- Received by editor(s) in revised form: October 12, 2012, November 2, 2012, April 11, 2013, and April 21, 2013
- Published electronically: June 25, 2014
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 597-625
- MSC (2010): Primary 11F68; Secondary 17B67
- DOI: https://doi.org/10.1090/S0002-9947-2014-06159-X
- MathSciNet review: 3271271