Eigenfunctions of the Weil representation of unitary groups of one variable
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- by Tonghai Yang
- Trans. Amer. Math. Soc. 350 (1998), 2393-2407
- DOI: https://doi.org/10.1090/S0002-9947-98-01915-1
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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Bibliographic 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