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

Erez Lapid, Jonathan David Rogawski

Type: Article

Publication Date: 2000-01-01

Citations: 16

DOI: https://doi.org/10.4171/dm/83

Abstract

We study the regularized periods of Eisenstein series on GL(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.

Locations

Documenta Mathematica - View - PDF

Similar Works

Action	Title	Year	Authors
+	Stable relative Bessel distributions on GL(n) over a quadratic extension	2007	Omer Offen
+	Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions II: The Eisenstein Case	2023	Chung-Hang Kwan
+ PDF Chat	Periods of automorphic forms: the case of	2014	Atsushi Ichino Shunsuke Yamana
+	Collected works of Hervé Jacquet	2011	Hervé Jacquet Dorian Goldfeld
+	Periods of Eisenstein series	2001	Erez Lapid Jonathan David Rogawski
+	Bessel Periods on $U(2,1) \times U(1,1)$, Relative Trace Formula and Non-Vanishing of Central L-values	2023	Philippe Michel Dinakar Ramakrishnan Liyang Yang
+ PDF Chat	Periods of rational integrals : algorithms and applications	2014	Pierre Lairez
+	On stability of Schauder bases of integer translates	2013	Morten Nielsen Hrvoje Šikić
+	Central L-values and periods for GL(2)	2010	Kimball Martin
+	Central L-values and periods for GL(2)	2010	Kimball Martin
+	Orthogonal Period of a GL 3(ℤ) Eisenstein Series	2011	Gautam Chinta Omer Offen
+	Eisenstein Series	2024	Jayce R. Getz Heekyoung Hahn
+ PDF Chat	Relative trace formulae toward Bessel and Fourier–Jacobi periods on unitary groups	2014	Yifeng Liu
+	Relative trace formulae toward Bessel and Fourier–Jacobi periods on unitary groups	2014	Yifeng Liu
+	Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups	2010	Yifeng Liu
+	The Fourier Expansion of Eisenstein Series for GL(3,Z)	1982	K. Imai Audrey Terras
+	Theta functions and Eisenstein series	2014	Bhaskar Srivastava
+	L-series of Eisenstein series vanishing at critical values	2024	Johann Franke
+	Theta correspondence for Eisenstein series	1991	Anton Deitmar Aloys Krieg
+	Eisenstein Series	2011	Benjamin Howard Tonghai Yang

Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	Compact unitary periods	2007	Erez Lapid Omer Offen
+	Periods of Eisenstein series	2001	Erez Lapid Jonathan David Rogawski
+	On central critical values of the degree four $$L$$ L -functions for $${\text {GSp}}\left( 4\right) $$ GSp 4 : a simple trace formula	2014	Masaaki Furusawa Kimball Martin
+	Unitary periods, Hermitian forms and points on flag varieties	2007	Gautam Chinta Omer Offen
+	Factorization of Period Integrals	2001	Hervé Jacquet
+	Quaternion distinguished representations and unstable base change for unitary groups	2019	Miyu Suzuki
+	Periods of Eisenstein series: The Galois case	2003	Erez Lapid Jonathan David Rogawski
+ PDF Chat	On representations distinguished by unitary groups	2012	Brooke Feigon Erez Lapid Omer Offen
+	ON THE FINE SPECTRAL EXPANSION OF JACQUET’S RELATIVE TRACE FORMULA	2006	Erez Lapid
+	On the SL(2) period integral	2004	U. K. Anandavardhanan Dipendra Prasad

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Explicit Constructions of Automorphic L-Functions	1987	Stephen Gelbart Ilya Piatetski-Shapiro Stephen Rallis
+	Kloosterman integrals and base change for GL (2).	1989	Yangbo Ye
+ PDF Chat	Distinguished representations and quadratic base change for 𝐺𝐿(3)	1996	Hervé Jacquet Yangbo Ye
+ PDF Chat	Periods of automorphic forms	1999	Hervé Jacquet Erez Lapid Jonathan David Rogawski
+	On Euler Products and the Classification of Automorphic Representations I	1981	H. Jacquet J. A. Shalika
+	Factorization of Period Integrals	2001	Hervé Jacquet
+	Vanishing periods of cusp forms over modular symbols	1993	Avner Ash David Ginzburg Steven Rallis
+	Periods of Eisenstein series: The Galois case	2003	Erez Lapid Jonathan David Rogawski
+	Generic representations for the unitary group in three variables	2001	Stephen Gelbart Hervé Jacquet Jonathan David Rogawski
+	On Certain Functions Represented by Dirichlet Series	1928	T. Estermann