Theta operator on Hermitian modular forms over the Eisenstein field

The mod p kernel of the theta operator on Hermitian modular forms is studied in the case that the base field is the Eisenstein field.

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Bibliographic Details
Published in:The Ramanujan journal 2020-05, Vol.52 (1), p.105-121
Main Authors: Nagaoka, Shoyu, Takemori, Sho
Format: Article
Language:English
Subjects:
Analytic functions
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
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Description
Summary:The mod p kernel of the theta operator on Hermitian modular forms is studied in the case that the base field is the Eisenstein field.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-018-0111-y