Eigenfunctions of the weil representation of unitary groups of one variable

Transactions of the American Mathematical Society

Volumn 350, Issue 6, 1998, Pages 2393-2407

  Yang, Tonghai ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Eigenfunction; Lattice model; Unitary group

Indexed keywords

EID: 22044439322     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-98-01915-1     Document Type: Article

References (13)

1. [HKS] M. Harris, S. Kudla and \V. Sweet, Theta dichotomy for unitary groups, 3. Amer. Math. Soc. 9 (1996), 941-1004. MR 96m:11041
2. [Ka] S. Kudla, Splitting metaplectic covers of dual reductive pairs, Israel J. Math. 87 (1994), 361-401. MR 95h:22019
3. [Li] Jian-shu Li, Theta series, Lecture notes at University of Maryland, College Park, 1992
4. [Moe] C. Moen, The dual pair (U(3), U(l)) over a p-adic field, Pacific J. Math. 127 (1987), 141-154. MR 88e:22035
5. [Moe2] ____, The dual pair ([/(!),[/(!)) over a p-adic field, Pacific J. Math. 158 (1993), 365-386. MR 94a:22036
6. [MVW] C. Moeglin, M.-F.Vigneras, J.-L. Waldspurger, Correspondances de Howe sur un corps p-adiques, Lecture Notes in Math., vol. 1291, Springer-Verlag, New York, 1987. MR 91f:11040
7. [Rao] R. Ranga Rao, On some explicit formulas in the theory of Weil representations, Pacific J. Math 157 (1993), 335-371. MR 94a:22037
8. [Ro] J. D. Rogawski, The multiplicity formula for A-packets, The Zeta Function of Picard Modular Surfaces (R. P. Langlands and D. Pramakrishnan, editors), Centre de Recherches Math., Univ. Montreal, Montréal, 1992, pp. 395-419. MR 93f:11042
9. [RVY] F. Rodriguez Villegas and T.H. Yang, Special values of L-functions of powers of canonical Hecke characters at the central point, to appear in Duke Math. J
10. [Was] L. Washington, Introduction to cyclotomic fields, GTM 83, Springer-Verlag, 1982. MR 85g:11001
11. [Wei] A. Weil, Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math. 123 (1965), 1-87. MR 36:6421
12. [Ya] Tonghai Yang, Theta liftings and Hecke L-functions, J. Reine Angew. Math. 485 (1997), 25-53. CMP 97:10
13. [Ya2] -, Nonvanishing of central Hecke L-value and rank of associated elliptic curves, to appear in Compositio Math