## Advanced Studies in Pure Mathematics

- Adv. Stud. Pure Math.
- Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo 2007), I. Nakamura and L. Weng, eds. (Tokyo: Mathematical Society of Japan, 2010), 173 - 223

### Symmetries and the Riemann Hypothesis

#### Abstract

Associated to reductive groups and their maximal parabolic subgroups are genuine zeta functions. Naturally related to Riemann's zeta function and governed by symmetries, including that of Weyl, these zeta functions are expected to satisfy the Riemann Hypothesis.

#### Article information

**Dates**

Received: 14 July 2008

Revised: 28 July 2009

First available in Project Euclid:
24 November 2018

**Permanent link to this document**

https://projecteuclid.org/
euclid.aspm/1543086132

**Digital Object Identifier**

doi:10.2969/aspm/05810173

**Mathematical Reviews number (MathSciNet)**

MR2676161

**Zentralblatt MATH identifier**

1227.11100

#### Citation

Weng, Lin. Symmetries and the Riemann Hypothesis. Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo 2007), 173--223, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/05810173. https://projecteuclid.org/euclid.aspm/1543086132