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Tan, Victor. Poles of Siegel Eisenstein Series on U(n, n). Canadian journal of mathematics, Tome 51 (1999) no. 1, pp. 164-175. doi: 10.4153/CJM-1999-010-4
@article{10_4153_CJM_1999_010_4,
author = {Tan, Victor},
title = {Poles of {Siegel} {Eisenstein} {Series} on {U(n,} n)},
journal = {Canadian journal of mathematics},
pages = {164--175},
year = {1999},
volume = {51},
number = {1},
doi = {10.4153/CJM-1999-010-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1999-010-4/}
}
[Art] [Art] Arthur, J., Eisenstein series and the Trace formula. Proc. Sympos. Pure Math. Part 1 XXXIII, Amer. Math. Soc., Providence, RI, 1979, 253–274. Google Scholar
[GPS] [GPS] Gelbart, S., Piatetski-Shapiro, I. and Rallis, S., Explicit constructions of automorphic L-functions. Lecture Notes in Math. 1254 , Springer-Verlag, New York, 1987. Google Scholar
[How] [How] Howe, R., A notion of rank for unitary representations of classical groups. Cortona, C. I. M. E., ed. (1980). Google Scholar
[Kar] [Kar] Karel, M., Values of certain Whittaker functions on p-adic groups. Illinois J. Math. 26 (1982), 552–575. Google Scholar
[KR1] [KR1] Kudla, S. and Rallis, S., Poles of Eisenstein series and L-functions. In: Festschrift in honor of I. Pietetski- Shapiro, Israel Mathematical Conference Proceedings 3 (1990), 81–110. Google Scholar
[KR2] [KR2] Kudla, S. and Rallis, S., A regularized Siegel-Weil formula: the first term identity. Ann. of Math. 140 (1994), 1–80. Google Scholar
[KS] [KS] Kudla, S. and Sweet, W. J., Degenerate principal series representation for U(n; n). Israel J. Math. 98 (1997), 253–306. Google Scholar
[Lai] [Lai] Lai, K. F., Tamagawa number of reductive algebraic groups. Compositio Math. 41 (1980), 153–188. Google Scholar
[Lee] [Lee] Lee, S., On some degenerate principal series representations of U(n; n). J. Funct. Anal. 126 (1994), 305–366. Google Scholar
[Shi] [Shi] Shimura, G., On Eisenstein Series. Duke Math. J. 50 (1983), 417–476. Google Scholar
[Sie] [Sie] Siegel, C. L., Uber die analytische theorie der quadratischen formen. Ann. of Math. 36 (1935), 527–606. Google Scholar
[Tan] [Tan] Tan, V., A regularized Siegel-Weil formula on U(2; 2) and U(3). Duke Math. J. (2) 94 (1998), 341–378. Google Scholar
[Wal] [Wal] Wallach, N., Lie algebra cohomology and holomorphic continuation of generalised Jacquet integrals. Representation of Lie groups, Kyoto, Adv. Stud. Pure Math. 14 (1988), 123–151. Google Scholar
[Wei] [Wei] Weil, A., Sur la formule de Siegel dans la theorie des groupes classiques. Acta Math. 113 (1965), 1–87. Google Scholar
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