Real Shintani Functions on $U(n,1)$ II, Computation of Zeta Integrals

J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 4, Page 689--719.

Tsuzuki, Masao
Real Shintani Functions on $U(n,1)$ II, Computation of Zeta Integrals
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Abstract:
We explicitly evaluate the archimedian local zeta integral arising from a certain Rankin-Selberg integral considered by Murase-Sugano associated with cusp forms on real-rank-one unitary groups.

Mathematics Subject Classification (1991): Primary 11F70; Secondary 22E46, 33C05, 11F67
Mathematical Reviews Number: MR1868297

Received: 2000-11-14