Triple correlation of the Riemann zeros
| Autor: | J. Brian Conrey, Nina C Snaith |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Current (mathematics) Conjecture Mathematics::Number Theory 010102 general mathematics Function (mathematics) Expression (computer science) 01 natural sciences Triple correlation 010305 fluids & plasmas Riemann zeta function Riemann hypothesis symbols.namesake 0103 physical sciences symbols Calculus 0101 mathematics Constant (mathematics) Mathematics |
| Zdroj: | Journal de Théorie des Nombres de Bordeaux. 20:61-106 |
| ISSN: | 1246-7405 |
| DOI: | 10.5802/jtnb.616 |
| Popis: | We use the conjecture of Conrey, Farmer and Zirn- bauer for averages of ratios of the Riemann zeta function (3) to cal- culate all the lower order terms of the triple correlation function of the Riemann zeros. A previous approach was suggested by Bogo- molny and Keating (2) taking inspiration from semi-classical meth- ods. At that point they did not write out the answer explicitly, so we do that here, illustrating that by our method all the lower order terms down to the constant can be calculated rigourously if one assumes the ratios conjecture of Conrey, Farmer and Zirnbauer. Bogomolny and Keating (1) returned to their previous results si- multaneously with this current work, and have written out the full expression. The result presented in this paper agrees precisely |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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