随机多项式、随机矩阵与 L-函数
数学物理
2009-11-11 v3 math.MP
数论
摘要
我们表明,随机矩阵的圆正交系综(Circular Orthogonal Ensemble)自然地源于一族随机多项式。这为 Riemann zeta 函数零点中随机矩阵统计的出现提供了启示。
引用
@article{arxiv.math-ph/0509044,
title = {Random polynomials, random matrices, and $L$-functions},
author = {David W Farmer and Francesco Mezzadri and Nina C Snaith},
journal= {arXiv preprint arXiv:math-ph/0509044},
year = {2009}
}
备注
Added background material. Final version. To appear in Nonlinearity