Cubic metaplectic forms on GL(3)

DOI10.1007/BF01388743zbMath0591.10018MaRDI QIDQ1074626

Daniel Bump, Jeffrey Hoffstein

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143348

zbMATH Keywords

Eisenstein seriesFourier coefficientsformsL-functionsmetaplectic groupWhittaker functionresiduemetaplecticcubic L-functionsGL(3)

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items

Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters ⋮ Some Euler products associated with cubic metaplectic forms on GL(3) ⋮ Mellin transforms of Whittaker functions on \(\text{GL} (4,\mathbb{R})\) and \(\text{GL} (4,\mathbb{C})\) ⋮ On Mellin transforms of unramified Whittaker functions on GL(3,C) ⋮ Metaplectic theta functions and global integrals ⋮ On some applications of automorphic forms to number theory ⋮ The \(GL(3)\) Rankin-Selberg convolution for functions not of rapid decay ⋮ Uniqueness of Whittaker functionals on the metaplectic group ⋮ The \(GL(3)\) Mellin transform for twisted non-cuspidal forms of higher level ⋮ On the non-vanishing of cubic twists of automorphic $L$-series

Cites Work

• Automorphic forms on GL(3,\({\mathbb{R}})\)
• Metaplectic forms
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• On modular forms of half integral weight
• Construction of integral modular forms of half-integral dimension with \(\vartheta\)-multipliers in one and two variables
• On the Holomorphy of Certain Dirichlet Series
• A cubic analogue of the theta series.
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• The Fourier Expansion of Eisenstein Series for GL(3,Z)
• Fonctions de Whittaker associées aux groupes de Chevalley
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