Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\)

DOI10.1007/s11856-008-1006-1zbMath1153.22022OpenAlexW2072567178MaRDI QIDQ940764

Joseph Hundley

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1006-1

zbMATH Keywords

Eisenstein seriesorthogonal groupsRankin-Selberg integralsLanglands \(L\)-functionsunfoldingspin representations

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (2)

On poles of the exterior cube \(L\)-functions for \(\mathrm{GL}_6\) ⋮ Multivariate Rankin-Selberg integrals on $\mathrm{GL}_4$ and $\mathrm{GU}(2,2)$

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
• Applications of minor summation formulas to rectangular-shaped representations of classical groups
• Identities for classical group characters of nearly rectangular shape
• On spin \(L\)-functions for orthogonal groups
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• The spin L-function of quasi-split D4
• On Spin L-functions for GSO 10
• Kronecker products for compact semisimple Lie groups
• A Classification of Spinors Up to Dimension Twelve
• Siegel modular forms and representations
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