Introduction: Multiple Dirichlet Series

DOI10.1007/978-0-8176-8334-4_1zbMath1370.11062OpenAlexW203158068MaRDI QIDQ4915859

Daniel Bump

Publication date: 12 April 2013

Published in: Multiple Dirichlet Series, L-functions and Automorphic Forms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-8334-4_1

zbMATH Keywords

Yang-Baxter equationmetaplectic groupWhittaker functioncrystal graphWeyl group multiple Dirichlet seriessolvable lattice model

Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (9)

Geometric Eisenstein series: twisted setting ⋮ Mean value of real Dirichlet characters using a double Dirichlet series ⋮ On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case ⋮ On a conjecture about an analogue of Tokuyama's theorem for \(G_2\) ⋮ Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials ⋮ A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\) ⋮ Weyl group multiple Dirichlet series for symmetrizable Kac-Moody root systems ⋮ On quotients of the Riemann zeta function at consecutive positive integers ⋮ Crystal graphs, Tokuyama's theorem, and the Gindikin-Karpelevič formula for \(G_{2}\)

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