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An arithmetic model for the total disorder process
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Publication details
| Journal | Probability Theory and Related Fields |
|---|---|
| Date | Published - May 2008 |
| Issue number | 1-2 |
| Volume | 141 |
| Number of pages | 13 |
| Pages (from-to) | 47-59 |
| Original language | English |
Abstract
We prove a multidimensional extension of Selberg's central limit theorem for the logarithm of the Riemann zeta function on the critical line. The limit is a totally disordered process, whose coordinates are all independent and Gaussian.
- Number Theory, Pure Mathematics, Total disorder process , Convergence in distribution , Central limit theorem , Riemann zeta function
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