Derivatives and \(L\)-functions for \(\mathrm{GL}_n\)

DOI10.1007/978-3-319-59728-7_5zbMath1433.11054OpenAlexW2765357729MaRDI QIDQ1728689

Ilya I. Piatetski-Shapiro, James W. Cogdell

Publication date: 25 February 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-59728-7_5

zbMATH Keywords

Whittaker modelsexceptional polesBernstein-Zelevinsky derivativeslocal \(L\)-functions

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) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (15)

Godement-Jacquet L-functions and full theta lifts ⋮ Local exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristic ⋮ Factorization of the local exterior square \(L\)-function of \(\mathrm{GL}_m\) ⋮ RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2) ⋮ Linear intertwining periods and epsilon dichotomy for linear models ⋮ Distinction inside \(L\)-packets of \(\mathrm{SL}(n)\) ⋮ TEST VECTORS FOR LOCAL CUSPIDAL RANKIN–SELBERG INTEGRALS ⋮ Local Langlands correspondence, local factors, and zeta integrals in analytic families ⋮ Rankin-Selberg local factors modulo \(\ell \) ⋮ Galois self-dual cuspidal types and Asai local factors ⋮ Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\) ⋮ Extension of Whittaker functions and test vectors ⋮ Rankin-Selberg \(L\)-functions via good sections ⋮ Test vectors for non‐Archimedean Godement–Jacquet zeta integrals ⋮ Linear periods for unitary representations

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