Constructing Weyl group multiple Dirichlet series

DOI10.1090/S0894-0347-09-00641-9zbMath1254.11048arXiv0803.0691OpenAlexW2063162131MaRDI QIDQ3584345

Gautam Chinta, Paul E. Gunnells

Publication date: 27 August 2010

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0691

zbMATH Keywords

metaplectic groupWeyl group multiple Dirichlet seriesWeyl character formulaFourier coefficients of Eisenstein series

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Other Dirichlet series and zeta functions (11M41) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Lie groups (22E99) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (23)

The Shintani double zeta functions ⋮ Hecke modules from metaplectic ice ⋮ A combinatorial formula for Sahi, Stokman, and Venkateswaran's generalization of Macdonald polynomials ⋮ Metaplectic Whittaker functions and crystal bases ⋮ Resonant Mirković-Vilonen polytopes and formulas for highest-weight characters ⋮ Twisted Weyl group multiple Dirichlet series over the rational function field ⋮ Moments of zeta functions associated to hyperelliptic curves over finite fields ⋮ Planes in Z4$\mathbb {Z}^4$ and Eisenstein series ⋮ Convergence tests on constant Dirichlet series ⋮ Weyl group multiple Dirichlet series, Eisenstein series and crystal bases ⋮ On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case ⋮ Whittaker coefficients of metaplectic Eisenstein series ⋮ On Iwahori-Whittaker functions for metaplectic groups ⋮ Combinatorics of Casselman-Shalika formula in type $A$ ⋮ Affine Weyl Group Multiple Dirichlet Series: Type $\tilde{A}$ ⋮ The metaplectic Casselman-Shalika formula ⋮ On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case ⋮ Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials ⋮ Unramified Whittaker functions for certain Brylinski-Deligne covering groups ⋮ Weyl group multiple Dirichlet series for symmetrizable Kac-Moody root systems ⋮ On the crystal graph description of the stable Weyl group multiple Dirichlet series ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2 ⋮ Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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