The Dimension of the Space of Cusp Forms of Weight One

1994/11/09 by William Duke, Duke, William
Mathematics · #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.math/9411212

openalex publication_date 1994/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new upper bound is given for the dimension of the space of holomorphic cusp forms of weight one and prime level q: \hboxdim S₁(q) lt;lt; q^11/12 log⁴q with an absolute implied constant.

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