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

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

2008-05-19

arxiv.org/abs/0805.2745v3

Math. Annalen 343 (2009), 487-505

Mathematics

Number Theory

v3. 19 pages, 3 figures. Minor corrections

Scientific paper

We continue our investigation of the distribution of the fractional parts of $a \gamma$, where $a$ is a fixed non-zero real number and $\gamma$ 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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