Sturm's operator for scalar weight in arbitrary genus
classification
🧮 math.NT
keywords
genusoperatorarbitraryscalarsturmweightweightscases
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In contrast to the wellknown cases of large weights, Sturm's operator does not realize the holomorphic projection operator for lower weights. We prove its failure for arbitrary Siegel genus $m\geq 2$ and scalar weight $\kappa=m+1$. This generalizes a result for genus two in [4].
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