Logarithmic moments of characteristic polynomials of random matrices

Edouard Brézin and Shinobu Hikami

Physica A: Statistical Mechanics and its Applications, 2000, vol. 279, issue 1, 333-341

Abstract: In a recent article we have discussed the connections between averages of powers of Riemann's ζ-function on the critical line, and averages of characteristic polynomials of random matrices. The result for random matrices was shown to be universal, i.e., independent of the specific probability distribution, and the results were derived for arbitrary moments. This allows one to extend the previous results to logarithmic moments, for which we derive the explicit universal expressions in random matrix theory. We then compare these results to various results and conjectures for ζ-functions, and the correspondence is again striking.

Date: 2000
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437199005841
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:279:y:2000:i:1:p:333-341

DOI: 10.1016/S0378-4371(99)00584-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().