Poles of triple product L-functions involving monomial representations

DOI10.1142/S1793042120400291zbMath1469.11124arXiv1912.04256OpenAlexW2997734550MaRDI QIDQ5857396

Heekyoung Hahn

Publication date: 1 April 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04256

zbMATH Keywords

Langlands \(L\)-functionsRankin-Selberg \(L\)-functionsautomorphic representationsautomorphic induction

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)

Cites Work

• Automorphic induction for \(\text{GL}(n,\mathbb C)\)
• From partition identities to a combinatorial approach to explicit Satake inversion
• Functoriality for the classical groups
• The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• On classical groups detected by the triple tensor product and the Littlewood-Richardson semigroup
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• On tensor third $L$-functions of automorphic representations of $GL_n(\mathbb {A}_F)$
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• On the nonvanishing of the central value of the Rankin-Selberg 𝐿-functions
• Isolating Rankin-Selberg lifts
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