Two identities relating Eisenstein series on classical groups

David Ginzburg; David Soudry

doi:10.1016/j.jnt.2020.11.001

Two identities relating Eisenstein series on classical groups

David Ginzburg, David Soudry

School of Mathematical Sciences

Tel Aviv University

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

Abstract

In this paper we introduce two general identities relating Eisenstein series on split classical groups, as well as double covers of symplectic groups. The first identity can be viewed as an extension of the doubling construction introduced in [CFGK19]. The second identity is a generalization of the descent construction studied in [GRS11].

Original language	English
Pages (from-to)	1-108
Number of pages	108
Journal	Journal of Number Theory
Volume	221
DOIs	https://doi.org/10.1016/j.jnt.2020.11.001
State	Published - Apr 2021

Keywords

Cuspidal automorphic representations
Eisenstein series
Fourier coefficients
Speh representations

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2020.11.001

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title = "Two identities relating Eisenstein series on classical groups",

abstract = "In this paper we introduce two general identities relating Eisenstein series on split classical groups, as well as double covers of symplectic groups. The first identity can be viewed as an extension of the doubling construction introduced in [CFGK19]. The second identity is a generalization of the descent construction studied in [GRS11].",

keywords = "Cuspidal automorphic representations, Eisenstein series, Fourier coefficients, Speh representations",

author = "David Ginzburg and David Soudry",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2021",

month = apr,

doi = "10.1016/j.jnt.2020.11.001",

language = "الإنجليزيّة",

volume = "221",

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journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

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T1 - Two identities relating Eisenstein series on classical groups

AU - Ginzburg, David

AU - Soudry, David

PY - 2021/4

Y1 - 2021/4

N2 - In this paper we introduce two general identities relating Eisenstein series on split classical groups, as well as double covers of symplectic groups. The first identity can be viewed as an extension of the doubling construction introduced in [CFGK19]. The second identity is a generalization of the descent construction studied in [GRS11].

AB - In this paper we introduce two general identities relating Eisenstein series on split classical groups, as well as double covers of symplectic groups. The first identity can be viewed as an extension of the doubling construction introduced in [CFGK19]. The second identity is a generalization of the descent construction studied in [GRS11].

KW - Cuspidal automorphic representations

KW - Eisenstein series

KW - Fourier coefficients

KW - Speh representations

UR - http://www.scopus.com/inward/record.url?scp=85098633909&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2020.11.001

DO - 10.1016/j.jnt.2020.11.001

M3 - مقالة

SN - 0022-314X

VL - 221

SP - 1

EP - 108

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Two identities relating Eisenstein series on classical groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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