On Kubota's Dirichlet series

DOI10.1515/CRELLE.2006.073zbMath1113.11028MaRDI QIDQ3413799

Benjamin Brubaker, Daniel Bump

Publication date: 18 December 2006

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Gauss sumsEisenstein seriesmultiple Dirichlet seriesmetaplectic groupsKubota symbol

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Other Dirichlet series and zeta functions (11M41) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (8)

Twisted Weyl group multiple Dirichlet series over the rational function field ⋮ Weyl group multiple Dirichlet series, Eisenstein series and crystal bases ⋮ Whittaker coefficients of metaplectic Eisenstein series ⋮ Constructing Weyl group multiple Dirichlet series ⋮ Weyl group multiple Dirichlet series. II: The stable case ⋮ On some functional relations between Mordell-Tornheim double \(L\)-functions and Dirichlet \(L\)-functions ⋮ Weyl group multiple Dirichlet series for symmetrizable Kac-Moody root systems ⋮ On the crystal graph description of the stable Weyl group multiple Dirichlet series

Cites Work

• Metaplectic forms
• Automorphic forms on covering groups of GL(2)
• Mean values of biquadratic zeta functions
• Topological covering of SL(2) over a local field
• On the Fourier Coefficients of Biquadratic Theta Series

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