New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's zeta function
By Marc Coram, Persi Diaconis. 2000
50 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f1ea732d9130780606842b77f412f9a58b497bb9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Neil O'Connell
- Jon P Keating
- Persi Diaconis
- C. Hughes
- N. Snaith
- Ashkan Nikeghbali
- Emmanuel Kowalski
- Kannan Soundararajan
In Geometry and Topology
- Neil O'Connell
- Jon P Keating
- N. Snaith
- Ashkan Nikeghbali
- Persi Diaconis
- Emmanuel Kowalski
- Sourav Chatterjee
- P. Michel
In Mathematical Physics
- Neil O'Connell
- Persi Diaconis
- Jon P Keating
- C. Hughes
- N. Snaith
- Ashkan Nikeghbali
- Emmanuel Kowalski
- Neil 'Connell
Citations in the corpus
- Random Matrix Theory and L-Functions at s= 1/2 (2000, methodology): “This idea has subsequently been applied by Brézin and Hikami [2] to other random matrix ensembles, and by Coram and Diaconis [4] to other statistics.”
- PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE (2003, methodology): “We give a brief fresh look at this from a statistical point of view, following joint work with Marc Coram [24].”
- On the Characteristic Polynomial¶ of a Random Unitary Matrix (2001, background): “(For additional evidence of this, concerning other statistics, see [9].”
- Mod-Poisson convergence in probability and number theory (2009, background): “One can suggest a “made up” matrix Ut obtained by taking the zeros of ζ(s) close to t, and wrapping them around the unit circle after proper rescaling, but this also lacks a good a priori definition – though this was studied by Coram and Diaconis [5], who obtained extremely good numerical agreement;”
- Random matrix theory and the derivative of the Riemann zeta function (2000, background): “Coram & Diaconis (1999) have subsequently veri ed that making the identi cation (1.6) leads to close agreement for other statistical measures.”
- Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture (2003, methodology): “We give a brief fresh look at this from a statistical point of view, following joint work with Marc Coram [24].”