Number Theory

    

Observations on the Pair Correlation of Riemann Zeros

Authors: Brian Scannell

We look at the pair correlation of the Riemann zeros at larger ranges. The evolution of this curve computed at different ranges is shown. The ripply shape of this curve is examined using spectral analysis. There seems to be a main spectral peak and possibly some other structures. The percentage RMS in the peak is shown. The results are compared to the spectrum of both noise and Montgomery’s pair correlation conjecture function . The pair correlation of unnormalised zeros shows dips at the zero positions.

Comments: 16 Pages.

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Submission history

[v1] 2020-06-03 15:14:49

Unique-IP document downloads: 219 times

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