An asymptotic expansion of \((k, c)\)-functions for \(\mathrm{GL}_n (F)\)

DOI10.1007/s00209-024-03431-wOpenAlexW4391347918MaRDI QIDQ6201401

Caihua Luo

Publication date: 20 February 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-024-03431-w

zbMATH Keywords

asymptotic expansionJacquet module\((k, c)\)-functionaltensor product \(L\)-function

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of some global integrals related to groups of type \(A_n\)
• Jacquet modules of ladder representations
• On parabolic induction on inner forms of the general linear group over a non-archimedean local field
• Automorphic forms on \(GL(3)\). I, II
• Plancherel formula for Whittaker functions on a \(p\)-adic reductive group
• Doubling constructions and tensor product \(L\)-functions: the linear case
• The functional equation of the Jacquet-Shalika integral representation of the local exterior-square \(L\)-function
• Zeta functions of simple algebras
• Derivatives and asymptotics of Whittaker functions
• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• On the asymptotics of Whittaker functions
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Distinguished representations of metaplectic groups
• Periods and harmonic analysis on spherical varieties
• Generating functions on covering groups
• L-Functions for SOn x GLk.
• On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times{\rm GL}_n$
• Local Rankin–Selberg integrals for Speh representations
• On a determinantal formula of Tadić
• The generalized doubling method: (𝑘,𝑐) models
• Rankin–Selberg Integrals and L-Functions for Covering Groups of General Linear Groups

This page was built for publication: An asymptotic expansion of \((k, c)\)-functions for \(\mathrm{GL}_n (F)\)