Fourier coefficients of modular forms on \(G_2\).
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Publication:1857114
DOI10.1215/S0012-7094-02-11514-2zbMath1165.11315OpenAlexW1488387456WikidataQ102355974 ScholiaQ102355974MaRDI QIDQ1857114
Gordan Savin, Gan, Wee Teck, Gross, Benedict H.
Publication date: 24 March 2003
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.dmj/1085598120
Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)
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Cites Work
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- Sums involving the values at negative integers of \(L\)-functions of quadratic characters
- Commutative subrings of certain non-associative rings
- The unitary dual of \(G_ 2\)
- Fourier coefficients of Eisenstein series of the exceptional group of type \(G_2\)
- Arithmetic of binary cubic forms
- Groups over \(\mathbb{Z}\)
- Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups
- New dual pair correspondences
- Groupes reductifs
- Canonical Extensions of Harish-Chandra Modules to Representations of G
- On quaternionic discrete series representations, and their continuations.
- An Automorphic Theta Module for Quaternionic Exceptional Groups
- A Siegel-Weil formula for exceptional groups
- On the structure of parabolic subgroups
- Linear algebraic groups.
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