On the non-vanishing of Shalika newvectors at the identity

DOI10.21857/ydkx2cv259OpenAlexW4391619488WikidataQ128254411 ScholiaQ128254411MaRDI QIDQ6204975

Harald Grobner, Nadir Matringe

Publication date: 11 April 2024

Published in: Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21857/ydkx2cv259

zbMATH Keywords

local fieldsnon-vanishingShalika modelsWhittaker models

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) (p)-adic theory, local fields (11F85) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\)
• Test vectors for local periods
• A correction to ``Conducteur des représentations du groupe linéaire
• Linear and Shalika local periods for the mirabolic group, and some consequences
• Factorization of the local exterior square \(L\)-function of \(\mathrm{GL}_m\)
• Uniqueness of twisted linear periods and twisted Shalika periods
• Essential Whittaker functions for \(\mathrm{GL}(n)\)
• Whittaker functions associated to newforms for \(GL(n)\) over \(p\)-adic fields
• Derivatives and asymptotics of Whittaker functions
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• Induced representations of reductive ${\germ p}$-adic groups. I
• On the arithmetic of Shalika models and the critical values of L-functions for GL2n
• The local period integrals and essential vectors
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