On the kernel of the theta operator mod p

We construct many examples of level one Siegel modular forms in the kernel of theta operators mod p by using theta series attached to positive definite quadratic forms.

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Veröffentlicht in:	Manuscripta mathematica 2018-05, Vol.156 (1-2), p.149-169
Hauptverfasser:	Böcherer, Siegfried, Kodama, Hirotaka, Nagaoka, Shoyu
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Modular construction Number Theory Quadratic forms Topological Groups
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Beschreibung
Zusammenfassung:	We construct many examples of level one Siegel modular forms in the kernel of theta operators mod p by using theta series attached to positive definite quadratic forms.
ISSN:	0025-2611 1432-1785
DOI:	10.1007/s00229-017-0962-3