Theta operator for Hermitian modular forms over the Eisenstein field
Shoyu Nagaoka, Sho Takemori
TL;DR
This paper studies the behavior of the theta operator on Hermitian modular forms over the Eisenstein field, focusing on the kernel modulo p to understand its structure and properties.
Contribution
It introduces new insights into the mod p kernel of the theta operator for Hermitian modular forms over the Eisenstein field.
Findings
Characterization of the mod p kernel of the theta operator
Conditions for the kernel to be non-trivial
Structural properties of Hermitian modular forms in this context
Abstract
In this paper, we have investigated the mod p kernel of the theta operator for Hermitian modular forms when the base field is the Eisenstein field.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research