Level optimization in the totally real case

2006/02/27 by K. Fujiwara, Fujiwara, K. · 1 citation
Mathematics · #11F33 #11F80 #11G18 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F33 #msc:11F80 #msc:11G18

paper · pdf · doi:10.48550/arxiv.math/0602586

This is the newest version of a preprint by the author with the same title (this paper is already submitted to a journal)

arxiv created 2006/02/27 · arxiv updated 2009/12/01

Abstract

In this paper, congruences between holomorphic Hilbert modular forms are studied. We show the best possible level optimization result outside l for l > 2 by solving the remaining case of Mazur principle when the degree of the totally real field is even.

Cited by

• Effective Generalized Fermat equation of signature (2p, 2q, r) with odd narrow class number

Related

• Congruences betwen Hilbert modular forms: constructing ordinary lifts II
• Computing Hilbert modular forms over fields with nontrivial class group
• Large values of modular forms
• Hilbert modular forms and their applications
• Quantitative level lowering for weight two Hilbert modular forms