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

By Kevin Ford, Kannan Soundararajan, A. Zaharescu. 2004

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We continue our investigation of the distribution of the fractional parts of αγ, where α 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 Montgomery’s pair correlation function and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function.

Subfields: Algebra and Number Theory, Statistical and Nonlinear Physics

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