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On the Periods of Automorphic Forms on Special Orthogonal Groups and the Gross–Prasad Conjecture

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Abstract

In this paper, we would like to formulate a conjecture on a relation between a certain period of automorphic forms on special orthogonal groups and some L-value. Our conjecture can be considered as a refinement of the global Gross–Prasad conjecture.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan

    Atsushi Ichino

  2. Graduate school of Mathematics, Kyoto University, Kitashirakawa, Sakyoku, Kyoto, 606-8502, Japan

    Tamutsu Ikeda

Authors
  1. Atsushi Ichino
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  2. Tamutsu Ikeda
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Correspondence to Atsushi Ichino.

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Dedicated to Professor Hiroyuki Yoshida on the occasion of his sixtieth birthday

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Ichino, A., Ikeda, T. On the Periods of Automorphic Forms on Special Orthogonal Groups and the Gross–Prasad Conjecture. Geom. Funct. Anal. 19, 1378–1425 (2010). https://doi.org/10.1007/s00039-009-0040-4

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  • DOI: https://doi.org/10.1007/s00039-009-0040-4

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