Classicité de formes modulaires de Hilbert

2015/04/28 by Bijakowski, Stéphane
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1504.07420

Abstract

We prove in this paper a classicality result for overconvergent Hilbert modular forms. To get this result, we use the analytic continuation method, first used by Buzzard and Kassaei. We prove this result without any ramification assumption.

Related

• Classicité de formes modulaires surconvergentes
• Formes modulaires surconvergentes, ramification et classicité
• Introduction aux formes modulaires de Hilbert et a leur proprietes differentielles
• Hilbert modular forms and their applications
• Overconvergent family of Siegel-Hilbert modular forms