The dimension of vector-valued modular forms of integer weight

2011/04/07 by P. Bántay, Bantay, P.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1104.1278

openalex publication_date 2011/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a dimension formula for spaces of vector-valued modular forms of integer weight in case the associated multiplier system has finite image, and discuss the weight distribution of the module generators of holomorphic and cusp forms, as well as the duality relation between cusp forms and holomorphic forms for the contragredient.

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