On the Spezialschar of Maass
2010 ◽
Vol 2010
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pp. 1-15
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Let be the space of Siegel modular forms of degree and even weight . In this paper firstly a certain subspace Spez the Spezialschar of , is introduced. In the setting of the Siegel threefold, it is proven that this Spezialschar is the Maass Spezialschar. Secondly, an embedding of into a direct sum Sym2is given. This leads to a basic characterization of the Spezialschar property. The results of this paper are directly related to the nonvanishing of certain special values of L-functions related to the Gross-Prasad conjecture. This is illustrated by a significant example in the paper.
1991 ◽
Vol 121
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pp. 35-96
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1992 ◽
Vol 62
(1)
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pp. 163-167
1981 ◽
Vol 14
(1)
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pp. 77-120
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2007 ◽
Vol 259
(1)
◽
pp. 97-111
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2000 ◽
Vol 23
(2)
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pp. 255-265
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