An arithmetic model for the total disorder process
概率论
2007-05-23 v1 数论
摘要
We prove a multidimensional extension of Selberg's central limit theorem for the logarithm of the Riemann zeta function on the critical line. The limit is a totally disordered process, whose coordinates are all independent and Gaussian.
引用
@article{arxiv.math/0612195,
title = {An arithmetic model for the total disorder process},
author = {C. P. Hughes and A. Nikeghbali and M. Yor},
journal= {arXiv preprint arXiv:math/0612195},
year = {2007}
}