Supersymmetry and the Riemann zeros on the critical line

被引：5

作者：

Das, Ashok ^{[1
]}

Kalauni, Pushpa ^{[2
]}

机构：

[1] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA

[2] Univ Oklahoma, Homer L Dodge Dept Phys & Astron, Norman, OK 73019 USA

来源：

PHYSICS LETTERS B | 2019年 / 791卷

关键词：

Riemann hypothesis; Supersymmetry; Riemann zeta function; Riemann zeros;

D O I：

10.1016/j.physletb.2019.02.040

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip 0 < Re s < 1 (in the complex parameter space) and show that the zeros on the critical line arise naturally from the vanishing ground state energy condition in this model. (c) 2019 The Author(s). Published by Elsevier B.V.

引用

页码：265 / 269

页数：5

共 24 条

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