TY - JOUR
T1 - On Saito-Kurokawa lifting to cohomological Siegel modular forms
AU - Miyazaki, Takuya
PY - 2004/6
Y1 - 2004/6
N2 - We discuss a theta lifting from SL2 to O(3, 2), which will produce a certain class of residual cohomological automorphic forms on the orthogonal group. We will show an explicit formula for their Fourier expansions, in which the constant terms may also occur, by using the Fourier coefficients of a half-integral weight cusp form, which is similar to the classical formula for the holomorphic Saito-Kurokawa lifting at finite places.
AB - We discuss a theta lifting from SL2 to O(3, 2), which will produce a certain class of residual cohomological automorphic forms on the orthogonal group. We will show an explicit formula for their Fourier expansions, in which the constant terms may also occur, by using the Fourier coefficients of a half-integral weight cusp form, which is similar to the classical formula for the holomorphic Saito-Kurokawa lifting at finite places.
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U2 - 10.1007/s00229-004-0453-1
DO - 10.1007/s00229-004-0453-1
M3 - Article
AN - SCOPUS:3042813998
SN - 0025-2611
VL - 114
SP - 139
EP - 163
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 2
ER -