Zeta Zeros

This page contains information on zeros of non-abelian zetas: We indicate that big Delta distributions of pair correlations for these zeros are closely related with GUE.

Systematic 'normalizations' are made for rank $n$ zeta zeros: $\gamma_{n,k}\,\mapsto\, a\,(\gamma_{n,k}+b)$ with $a, b$ depending only on $n$.

- First 138,000 Rank 2 Zeros and Big Delta Pair Correlations for Rank 2 Zeros
- First 63,500 Rank 3 Zeros and Big Delta Pair Correlations for Rank 3 Zeros
- First 63,500 Rank 4 Zeros and Big Delta Pair Correlations for Rank 4 Zeros
- First 63,500 Rank 5 Zeros and Big Delta Pair Correlations for Rank 5 Zeros

Our calculations are based on very premitive programs in Mathematica, written by M. Suzuki, and modified by Suguru Katayama.

Alerts: (i) Rank 5 is under construction. (ii) The file for rank 2, 3, 4 zeros consists of 394, 182, 181 pages.

\[\]\[\]Last update: Sept 06, 2014 18:00:00