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Transactions of the American Mathematical Society

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

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Eigenfunctions of the Weil representation of unitary groups of one variable
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by Tonghai Yang PDF
Trans. Amer. Math. Soc. 350 (1998), 2393-2407

Abstract:

In this paper, we construct explicit eigenfunctions of the local Weil representation on unitary groups of one variable in the $p$-adic case when $p$ is odd. The idea is to use the lattice model, and the results will be used to compute special values of certain Hecke $L$-functions in separate papers. We also recover Moen’s results on when a local theta lifting from $U(1)$ to itself does not vanish.
References
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Additional Information
  • Tonghai Yang
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
  • MR Author ID: 606823
  • Email: thyang@math.lsa.umich.edu
  • Received by editor(s): November 7, 1995
  • Received by editor(s) in revised form: July 3, 1996
  • Additional Notes: Partially supported by NSF grant DMS-9304580
  • © Copyright 1998 Americal Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 2393-2407
  • MSC (1991): Primary 11F27, 11E45
  • DOI: https://doi.org/10.1090/S0002-9947-98-01915-1
  • MathSciNet review: 1407714