TY - JOUR
T1 - Two identities relating Eisenstein series on classical groups
AU - Ginzburg, David
AU - Soudry, David
N1 - Publisher Copyright:
© 2020 Elsevier Inc.
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
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AN - SCOPUS:85098633909
SN - 0022-314X
VL - 221
SP - 1
EP - 108
JO - Journal of Number Theory
JF - Journal of Number Theory
ER -