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arXiv · 0805.2745

On the distribution of imaginary parts of zeros of the Riemann zeta function, II

Kevin Ford·K. Soundararajan·Alexandru Zaharescu
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Abstract

We continue our investigation of the distribution of the fractional parts of $a γ$, where $a$ is a fixed non-zero real number and $γ$ runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. We establish some connections to pair correlation functions and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function. This is a sequel to the paper math.NT/0405459.

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Kevin Ford, K. Soundararajan, Alexandru Zaharescu. 2009-01-10. On the distribution of imaginary parts of zeros of the Riemann zeta function, II. https://arxiv.org/abs/0805.2745

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