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The local zeta integrals for \(\mathrm{GL}(2,\mathbb{C})\times \mathrm{GL}(2,\mathbb{C})\)

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Publication:1651614
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DOI10.3792/pjaa.94.1zbMath1446.11098OpenAlexW2781893411MaRDI QIDQ1651614

Tadashi Miyazaki

Publication date: 12 July 2018

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1515121223


zbMATH Keywords

automorphic formsWhittaker functionszeta 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)

Calculus of archimedean Rankin–Selberg integrals with recurrence relations ⋮ Archimedean zeta integrals for 𝐺𝐿(3)×𝐺𝐿(2) ⋮ Test vectors for Archimedean period integrals



Cites Work

  • Gross-Zagier formula for \(\text{GL}_ 2\).
  • Whittaker newforms for archimedean representations of GL(2)
  • Automorphic forms on GL (2)
  • Automorphic forms on \(\mathrm{GL}(2)\). Part II
  • Unnamed Item
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