Weights of the mod p kernel of the theta operators

2016/06/21 by Siegfried Boecherer, Boecherer, Siegfried, Toshiyuki Kikuta +3
Mathematics · #11F33 #11F46 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic and geometric function theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1606.06390

openalex publication_date 2016/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give some relations between the weights and the prime p of elements of the mod p kernel of the generalized theta operator Θ^[j]. In order to construct examples of the mod p kernel of Θ^[j] from any modular form, we introduce new operators A^(j)(M) and show the modularity of F|A^(j)(M) when F is a modular form. Finally, we give some examples of the mod p kernel of Θ^[j] and the filtrations of some of them.

Citations

• Siegel modular forms mod p
• Sturm bounds for Siegel modular forms of degree 2 and odd weights

Cited by

• Note on mod p property of Hermitian modular forms

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