Jacquet-Langlands对应、Eisenstein同余及权2下的整L值
数论
2019-03-14 v4
摘要
我们利用Jacquet-Langlands对应，将Mazur关于素数水平下权2椭圆模形式的Fourier系数与L值的著名同余结果，推广到非平方水平以及Hilbert模形式。
引用
@article{arxiv.1601.03284,
title = {The Jacquet-Langlands correspondence, Eisenstein congruences, and integral L-values in weight 2},
author = {Kimball Martin},
journal= {arXiv preprint arXiv:1601.03284},
year = {2019}
}
备注
16 pages; this is a corrected and annotated version to the published version--the main correction is the addition of hypotheses in Theorem 2.1 in the case of base field with class number > 1; all the results stated in the introduction are unchanged