On the mod p kernel of the theta operator and Eisenstein series

2017/08/02 by Shōyū Nagaoka, Sho Takemori, Nagaoka, Shoyu +1
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1708.00564

openalex publication_date 2017/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Siegel modular forms in the space of the mod p kernel of the theta operator are constructed by the Eisenstein series in some odd-degree cases. Additionally, a similar result in the case of Hermitian modular forms is given.

Related

• On the kernel of the theta operator mod p
• Note on mod p property of Hermitian modular forms
• Theta operator for Hermitian modular forms over the Eisenstein field
• Weights of the mod p kernel of the theta operators
• Theta operators on Siegel modular forms and Galois representations