Publication Date:
2014-11-20
Description:
We investigate the distribution of the logarithmic derivative of the Riemann zeta-function on the line R( s )=, where lies in a certain range near the critical line =1/2. For such , we show that the distribution of '/( s ) converges to a two-dimensional Gaussian distribution in the complex plane. Upper bounds on the rate of convergence to the Gaussian distribution are also obtained.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics
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