Characterizing Hilbert modular cusp forms by coefficient size
Benjamin Linowitz
TL;DR
This paper characterizes Hilbert modular cusp forms based on the size of their Fourier coefficients, providing an answer to a question posed by Winfried Kohnen.
Contribution
It offers a novel characterization of Hilbert modular cusp forms through Fourier coefficient size, advancing understanding in the field.
Findings
Fourier coefficient size uniquely determines Hilbert modular cusp forms
Addresses and resolves a question by Winfried Kohnen
Enhances the theoretical framework of modular forms
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research