广义Sato-Tate测度极限下的正态分布
数论
2008-10-14 v1
摘要
在适当的极限顺序下，当p、m和n都趋于无穷时，在具有p^m个元素的域上，一个“随机”n次平面曲线的H^1上Frobenius的归一化迹的分布趋于高斯分布。同样地，在具有p^m个元素的域上，一个“随机”亏格为g的曲线也满足这一性质。
关键词
引用
@article{arxiv.0810.2012,
title = {The Normal Distribution as a Limit of Generalized Sato-Tate Measures},
author = {Michael Larsen},
journal= {arXiv preprint arXiv:0810.2012},
year = {2008}
}
备注
This is an unpublished preprint from the mid-1990s. Much of it has been superseded since. Plain TeX, 15 pages