Explicit structure of the graded ring of modular forms

2011/11/21 by Suda Tomohiko, Tomohiko, Suda
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.1111.4777

openalex publication_date 2011/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give explicit structure of the graded ring of modular forms with respect to Gamma(N) (N=1,2,3,4,5,6,7,8,9,10,12,16,18) and for some other congruence groups. We also study the modular forms of half-integer weight for certain groups.

Related

• An explicit structure of the graded ring of modular forms of small level
• Graded rings of modular forms (1)
• The graded ring of modular forms on the Cayley half-space of degree two
• Computing bases of modular forms using the graded algebra structure
• Two graded rings of Hermitian modular forms