# Level optimization in the totally real case

Source: [Level optimization in the totally real case](<https://www.sota2.com/research/paper/68fa4d3c1e209131ce952e27>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:44:55.241Z

Authors: K. Fujiwara

Published: 2006-02-27T13:19:06.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0602586>)

[PDF](<https://arxiv.org/pdf/math/0602586.pdf>)