A database of Hilbert modular forms
Steve Donnelly, John Voight

TL;DR
This paper presents a comprehensive database of Hilbert modular forms of parallel weight 2 over totally real fields, enabling further research and applications in number theory.
Contribution
It introduces a new computational database of Hilbert modular forms over totally real fields, expanding available data for mathematical analysis.
Findings
Generated extensive tables of Hilbert modular forms
Facilitated research in algebraic number theory
Provided computational tools for future studies
Abstract
We describe the computation of tables of Hilbert modular forms of parallel weight 2 over totally real fields.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research
