临界带中的势流与黎曼假设
综合数学
2014-03-25 v2
摘要
我们用理想流体的势流来描述 Dirichlet eta 函数在临界带中的行为。利用复势理论和数论中众所周知的结果，我们证明了 Dirichlet eta 函数在临界带内临界线之外没有零点，这与黎曼假设一致。
关键词
引用
@article{arxiv.1201.1810,
title = {Potential flow in the critical strip and the Riemann hypothesis},
author = {J. G. Andrews},
journal= {arXiv preprint arXiv:1201.1810},
year = {2014}
}
备注
29 pages, 15 figures This paper replaces an earlier paper (arXiv.1201.1810, Jan 3 2012). It now tackles the problem using complex potential theory to derive properties of the Dirichlet eta function that are invariant throughout the critical strip, on a continuous Riemann surface