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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Relative trace formula and simple algebras
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by Yuval Z. Flicker
Proc. Amer. Math. Soc. 99 (1987), 421-426
DOI: https://doi.org/10.1090/S0002-9939-1987-0875374-1

Abstract:

A Deligne-Kazhdan variant of the relative trace formula of Jacquet-Lai is given, thus generalizing the study of distinguished representations from the context of the quaternion algebra to that of any simple algebra.
References
  • Tetsuya Asai, On certain Dirichlet series associated with Hilbert modular forms and Rankin’s method, Math. Ann. 226 (1977), no. 1, 81–94. MR 429751, DOI 10.1007/BF01391220
  • Y. Flicker, Representations of simple algebras, mimeographed notes, based on a course at Harvard University, fall 1985. —, Twisted tensors and Euler products, preprint, Harvard Univ., 1985.
  • H. Jacquet and K. F. Lai, A relative trace formula, Compositio Math. 54 (1985), no. 2, 243–310. MR 783512
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 421-426
  • MSC: Primary 22E55; Secondary 11F72, 11R39
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0875374-1
  • MathSciNet review: 875374