Rankin-Selberg gamma factors of level zero representations of \(\mathrm{GL}_{n}\)

DOI10.1515/forum-2018-0099zbMath1422.22020arXiv1804.01664OpenAlexW2963297023MaRDI QIDQ2418039

Rongqing Ye

Publication date: 31 May 2019

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01664

zbMATH Keywords

Gamma factorsJacquet's conjecture

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) Representations of finite groups of Lie type (20C33)

Related Items (4)

On values of the Bessel function for generic representations of finite general linear groups ⋮ On gamma factors for representations of finite general linear groups ⋮ Epsilon factors of representations of finite general linear groups ⋮ Applications of analytic newvectors for \(\operatorname{GL}(N)\)

Cites Work

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• Towards the Jacquet conjecture on the local converse problem for \(p\)-adic \(\mathrm {GL}_n\)
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• On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁}
• Rankin-Selberg Convolutions
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• On the realization of maximal simple types and epsilon factors of pairs
• Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula
• On the local converse theorem for p-adic GLn
• A proof of the finite field analogue of Jacquet’s conjecture
• REPRESENTATIONS OF THE FULL LINEAR GROUP OVER A FINITE FIELD

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