Level optimization in the totally real case

Details Level optimization in the totally real case Level optimization in the totally real case

2006-02-27

arxiv.org/abs/math/0602586v1

Mathematics

Number Theory

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

Scientific paper

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.

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