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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Conservation relations for local theta correspondence
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by Binyong Sun and Chen-Bo Zhu PDF
J. Amer. Math. Soc. 28 (2015), 939-983 Request permission


We prove Kudla-Rallis conjecture on first occurrences of local theta correspondence, for all irreducible dual pairs of type I and all local fields of characteristic zero.
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Additional Information
  • Binyong Sun
  • Affiliation: Hua Loo-Keng Key Laboratory of Mathematics, Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100190, P.R. China
  • MR Author ID: 805605
  • Email:
  • Chen-Bo Zhu
  • Affiliation: Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076
  • MR Author ID: 305157
  • ORCID: 0000-0003-3819-1458
  • Email:
  • Received by editor(s): September 26, 2012
  • Received by editor(s) in revised form: January 28, 2014, and May 29, 2014
  • Published electronically: July 2, 2014

  • Dedicated: In memory of Stephen Rallis
  • © Copyright 2014 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 28 (2015), 939-983
  • MSC (2010): Primary 22E46, 22E50
  • DOI:
  • MathSciNet review: 3369906