Sturm’s operator for scalar weight in arbitrary genus
2017 ◽
Vol 13
(10)
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pp. 2677-2686
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Keyword(s):
In contrast to the well-known cases of large weights, Sturm’s operator does not realize the holomorphic projection operator for lower weights. We prove its failure for arbitrary Siegel modular forms of genus [Formula: see text] and scalar weight [Formula: see text]. This generalizes a result for genus two in [K. Maurischat and R. Weissauer, Phantom holomorphic projections arising from Sturm’s formula, preprint (2016)].
1992 ◽
Vol 58
(197)
◽
pp. 381-381
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2017 ◽
Vol 369
(3-4)
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pp. 1649-1669
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