Characterizing Hilbert modular cusp forms by coefficient size

2012/05/18 by Benjamin Linowitz, Linowitz, Benjamin
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.1205.4063

openalex publication_date 2012/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Associated to an (adelic) Hilbert modular form is a sequence of `Fourier coefficients' which uniquely determine the form. In this paper we characterize Hilbert modular cusp forms by the size of their Fourier coefficients. This answers in the affirmative a question posed by Winfried Kohnen.

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