Exterior square gamma factors for cuspidal representations of \(\operatorname{GL}_n\): simple supercuspidal representations

DOI10.1007/S11139-021-00476-XzbMath1495.22010arXiv1908.10482OpenAlexW3190736660MaRDI QIDQ2155867

Rongqing Ye, Elad Zelingher

Publication date: 15 July 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10482

zbMATH Keywords

gamma factorslocal converse theorem

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simple supercuspidal representations of \(\mathrm{GL}(n)\)
• Arithmetic invariants of discrete Langlands parameters
• Some results on simple supercuspidal representations of \(\operatorname{GL}_{n}(F)\)
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Linear and Shalika local periods for the mirabolic group, and some consequences
• Exterior square gamma factors for cuspidal representations of \(GL_n\): finite field analogs and level-zero representations
• Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\)
• Towards the Jacquet conjecture on the local converse problem for \(p\)-adic \(\mathrm {GL}_n\)
• The functional equation of the Jacquet-Shalika integral representation of the local exterior-square \(L\)-function
• Bessel functions and local converse conjecture of Jacquet
• Langlands parameters for epipelagic representations of \(\mathrm{GL}_n\)
• On the sharpness of the bound for the Local Converse Theorem of 𝑝-adic 𝐺𝐿_{𝑝𝑟𝑖𝑚𝑒}
• On the local converse theorem for p-adic GLn

This page was built for publication: Exterior square gamma factors for cuspidal representations of \(\operatorname{GL}_n\): simple supercuspidal representations