On the kernel of the theta operator mod p
Siegfried Boecherer, Hirotaka Kodama, Shoyu Nagaoka
TL;DR
This paper constructs numerous examples of level one Siegel modular forms that lie in the kernel of theta operators modulo p, utilizing theta series associated with positive definite quadratic forms.
Contribution
It introduces a method to generate Siegel modular forms in the kernel of theta operators mod p using theta series from quadratic forms.
Findings
Many explicit examples of such modular forms are provided.
The construction links quadratic forms to the kernel of theta operators.
The approach broadens understanding of modular forms mod p.
Abstract
We construct many examples of level one Siegel modular forms in the kernel of theta operators mod by using theta series attached to positive definite quadratic forms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Mathematical Identities