On spin \(L\)-functions for orthogonal groups

DOI10.1215/S0012-7094-95-07723-0zbMath0832.11020MaRDI QIDQ1896004

David Ginzburg

Publication date: 7 March 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

spin representationRankin-Selberg integralpartial \(L\)-functiongeneric cuspidal representation

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (9)

Generalized Shalika models of \(p\)-adic SO\(_{4n}\) and functoriality ⋮ Periods of automorphic forms, poles of \(L\)-functions and functorial lifting ⋮ Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\) ⋮ Langlands-Shahidi method and poles of automorphic \(L\)-functions. III: Exceptional groups ⋮ Branching rules obtained from explicit correspondences of automorphic representations ⋮ On poles of the exterior cube \(L\)-functions for \(\mathrm{GL}_6\) ⋮ Spin 𝐿-functions on 𝐺𝑆𝑝₈ and 𝐺𝑠𝑝₁₀ ⋮ A Siegel-Weil identity for \(G_2\) and poles of \(L\)-functions ⋮ On Spin L-functions for GSO 10

Cites Work

• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple
• A Rankin-Selberg integral for the adjoint representation of \(GL_ 3\)
• Vanishing periods of cusp forms over modular symbols
• A regularized Siegel-Weil formula: The first term identity
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times{\rm GL}_n$
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