Stabilization of periods of Eisenstein series and Bessel distributions on $GL(3)$ relative to $U(3)$

Erez Lapid; Jonathan Rogawski

doi:10.4171/dm/83

JournalsdmVol. 5pp. 317–350

Stabilization of periods of Eisenstein series and Bessel distributions on $G L (3)$ relative to $U (3)$

Erez Lapid
Department of Mathematics, Department of Mathematics, The Ohio State University, University of California, 231W 18th Avenue, Los Angeles, California 90095, Columbus OH 43210, USA USA
Jonathan Rogawski
Department of Mathematics, Department of Mathematics, The Ohio State University, University of California, 231W 18th Avenue, Los Angeles, California 90095, Columbus OH 43210, USA USA

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Abstract

We study the regularized periods of Eisenstein series on $G L (3)$ relative to $U (3)$ . A stabilization procedure is used to express the periods in terms of $L$ -functions. This is combined with the relative trace formula Jacquet and Ye to obtain new identities on Bessel distributions.

Cite this article

Erez Lapid, Jonathan Rogawski, Stabilization of periods of Eisenstein series and Bessel distributions on $G L (3)$ relative to $U (3)$ . Doc. Math. 5 (2000), pp. 317–350

DOI 10.4171/DM/83