The Archimedean zeta integrals for \(\mathrm{GL}(3)\times \mathrm{GL}(2)\)

DOI10.3792/pjaa.92.27zbMath1417.11085arXiv2104.05042OpenAlexW2270666156MaRDI QIDQ288546

Taku Ishii, Tadashi Miyazaki, Miki Hirano

Publication date: 27 May 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05042

zbMATH Keywords

automorphic formsWhittaker fucntionszeta integrals

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

Higher weight on \(\mathrm{GL}(3)\). II: The cusp forms ⋮ Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms ⋮ A cohomological interpretation of Archimedean zeta integrals for \(\mathrm{GL}_3\times\mathrm{GL}_2\)

Cites Work

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• Whittaker newforms for archimedean representations of GL(2)
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Mellin transforms of GL ( n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /) whittaker functions]
• The archimedean Whittaker functions on GL(3)

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