Exceptional poles of local spinor L‐functions of GSp(4) with anisotropic Bessel models

DOI10.1002/mana.202200146arXiv1803.07539OpenAlexW4383721703MaRDI QIDQ6185697

Mirko Rösner, Rainer Weissauer

Publication date: 8 January 2024

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

Full work available at URL: https://arxiv.org/abs/1803.07539

zbMATH Keywords

symplectic groupsBessel modelsexceptional poleslocal spinor \(L\)-function

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) 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
• Some results on Bessel functionals for GSp(4)
• The local Langlands conjecture for \(\text{GSp}(4)\)
• Zeta integrals for \(\operatorname{GSp}(4)\) via Bessel models
• On the Saito-Kurokawa lifting
• The cohomology of \(p\)-adic symmetric spaces
• Exceptional poles of local \(L\)-functions for \textit{GSp}(4) with respect to split Bessel models
• Local factors of nongeneric supercuspidal representations of \(\mathrm{GSp}_4\)
• Local newforms for \(\text{GSp}(4)\)
• Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
• \(L\)-factor of irreducible \(\chi_1 \times\chi_2 \rtimes\sigma\)
• On extensions of generalized Steinberg representations
• Regular poles for the p-adic group $GSp_4$-II
• Theta correspondences for 𝐺𝑆𝑝(4)
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• Induced representations of reductive ${\germ p}$-adic groups. I
• The Saito-Kurokawa lifting and functoriality
• Regular poles for the p-adic group $GSp_4$
• Bessel models for GSp(4)
• Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$