TY - JOUR
T1 - A Godement-Jacquet type integral and the metaplectic Shalika model
AU - Frahm, Jan
AU - Kaplan, Eyal
PY - 2019/2/1
Y1 - 2019/2/1
N2 - �We present a novel integral representation for a quotient of global automorphic L-functions, the symmetric square over the exterior square. The pole of this integral characterizes a period of a residual representation of an Eisenstein series. As such, the integral itself constitutes a period, of an arithmetic nature. The construction involves the study of local and global aspects of a new model for double covers of general linear groups, the metaplectic Shalika model. In particular, we prove uniqueness results over p-adic and archimedean fields, and a new Casselman–Shalika type formula.
AB - �We present a novel integral representation for a quotient of global automorphic L-functions, the symmetric square over the exterior square. The pole of this integral characterizes a period of a residual representation of an Eisenstein series. As such, the integral itself constitutes a period, of an arithmetic nature. The construction involves the study of local and global aspects of a new model for double covers of general linear groups, the metaplectic Shalika model. In particular, we prove uniqueness results over p-adic and archimedean fields, and a new Casselman–Shalika type formula.
UR - http://www.scopus.com/inward/record.url?scp=85062104201&partnerID=8YFLogxK
U2 - 10.1353/ajm.2019.0005
DO - 10.1353/ajm.2019.0005
M3 - Journal article
SN - 0002-9327
VL - 141
SP - 219
EP - 282
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 1
ER -