English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Matrix Model for Riemann Zeta via its Local Factors

Chattopadhyay, A., Dutta, P., Dutta, S., & Ghoshal, D. (in preparation). Matrix Model for Riemann Zeta via its Local Factors.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/21.11116/0000-0001-E3DF-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E933-E
Genre: Paper

Files

show Files
hide Files
:
1807.07342.pdf (Preprint), 451KB
Name:
1807.07342.pdf
Description:
File downloaded from arXiv at 2018-08-07 09:47
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Chattopadhyay, Arghya, Author
Dutta, Parikshit, Author
Dutta, Suvankar, Author
Ghoshal, Debashis1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

Content

show
hide
Free keywords: Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
 Abstract: We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is `piecemeal', in the sense that we consider each factor in the Euler product representation of the zeta function to first construct a UMM for each prime $p$. We are able to use its phase space description to write the partition function as the trace of an operator that acts on a subspace of square-integrable functions on the p-adic line. This suggests a Berry-Keating type Hamiltonian. We combine the data from all primes to propose a Hamiltonian and a matrix model for the Riemann zeta function.

Details

show
hide
Language(s):
 Dates: 2018-07-19
 Publication Status: Not specified
 Pages: 1+38 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1807.07342
URI: http://arxiv.org/abs/1807.07342
 Degree: -

Event

show

Legal Case

show

Project information

show

Source

show