A spectral mean value theorem for GL(3)

Xiaoqing Li

doi:10.1016/j.jnt.2010.04.008

A spectral mean value theorem for GL(3)

Xiaoqing Li

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we will prove a spectral mean value theorem for the first Fourier coefficients of GL(3) Maass forms. It is the analogue of the local Weyl law for GL(3) proved by Lapid and Müller (2009) [LM] and the sharp upper bound in the global Weyl law for GL(3) proved by Donnelly (1982) [Do], Miller (2001) [Mi], Müller (2007) [Mu], Lindenstrauss and Venkatesh (2007) [LV], Lapid and Müller (2009) [LM], etc.

Original language	English
Pages (from-to)	2395-2403
Number of pages	9
Journal	Journal of Number Theory
Volume	130
Issue number	11
DOIs	https://doi.org/10.1016/j.jnt.2010.04.008
State	Published - Nov 2010

Keywords

GL(3)
Kuznetsov
Spectral mean value theorem

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10.1016/j.jnt.2010.04.008

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abstract = "In this paper, we will prove a spectral mean value theorem for the first Fourier coefficients of GL(3) Maass forms. It is the analogue of the local Weyl law for GL(3) proved by Lapid and M{\"u}ller (2009) [LM] and the sharp upper bound in the global Weyl law for GL(3) proved by Donnelly (1982) [Do], Miller (2001) [Mi], M{\"u}ller (2007) [Mu], Lindenstrauss and Venkatesh (2007) [LV], Lapid and M{\"u}ller (2009) [LM], etc.",

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AB - In this paper, we will prove a spectral mean value theorem for the first Fourier coefficients of GL(3) Maass forms. It is the analogue of the local Weyl law for GL(3) proved by Lapid and Müller (2009) [LM] and the sharp upper bound in the global Weyl law for GL(3) proved by Donnelly (1982) [Do], Miller (2001) [Mi], Müller (2007) [Mu], Lindenstrauss and Venkatesh (2007) [LV], Lapid and Müller (2009) [LM], etc.

KW - GL(3)

KW - Kuznetsov

KW - Spectral mean value theorem

UR - https://www.scopus.com/pages/publications/77954054892

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DO - 10.1016/j.jnt.2010.04.008

M3 - Article

AN - SCOPUS:77954054892

SN - 0022-314X

VL - 130

SP - 2395

EP - 2403

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 11

ER -

A spectral mean value theorem for GL(3)

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Keywords

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