Advanced Studies in Pure Mathematics

Symmetries and the Riemann Hypothesis

Lin Weng

Full-text: Open access

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

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

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


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