Congruences for Hermitan modular forms of degree 2

2010/05/17 by Toshiyuki Kikuta, Kikuta, Toshiyuki
Mathematics · #11F33 #11F46 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1005.2993

openalex publication_date 2010/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give two congruence properties of Hermitian modular forms of degree 2 over ℚ(√(-1)) and ℚ(√(-3)). The one is a congruence criterion for Hermitian modular forms which is generalization of Sturm's theorem. Another is the well-definedness of the p-adic weight for Hermitian modular forms.

Citations

• Sturm type theorem for Siegel modular forms of degree 2
• Paramodular Cusp Forms

Related

• Congruences in Hermitian Jacobi and Hermitian modular forms
• A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients
• Two graded rings of Hermitian modular forms
• Sturm type theorem for Siegel modular forms of degree 2
• On p-divisibility of Fourier coefficients of Hermitian modular forms