Riemann 假设的离散化 Keiper/Li 方法
数论
2022-04-05 v3
摘要
Keiper--Li 序列 在渐近意义上（）对 Riemann 假设最为敏感，但在解析和数值上都极难处理。我们将其形变为完全显式的序列，使其更易于分析和计算（由 G. Misguich 计算至 ）。该方法对 Davenport--Heilbronn 反例同样有效，因此我们能够展示对偏离临界线的零点选择性响应的显式测试。
引用
@article{arxiv.1703.02844,
title = {Discretized Keiper/Li approach to the Riemann Hypothesis},
author = {André Voros},
journal= {arXiv preprint arXiv:1703.02844},
year = {2022}
}
备注
39 pages, 11 figures. arXiv admin note: text overlap with arXiv:1602.03292. V2: corrections to definition of ${\mathcal D}_{R_0}$ (Sec.3.1), to uncertainty principle in Secs.1.2 (result unchanged) and 4.3; text revamped throughout. V3: introduction page added; Secs.3.3 & 4.3, figs.6 & 11 and bibliography augmented