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

@article{Ford2008OnTD,
  title={On the distribution of imaginary parts of zeros of the Riemann zeta function, II},
  author={K. Ford and K. Soundararajan and A. Zaharescu},
  journal={Mathematische Annalen},
  year={2008},
  volume={343},
  pages={487-505}
}
  • K. Ford, K. Soundararajan, A. Zaharescu
  • Published 2008
  • Mathematics
  • Mathematische Annalen
    • 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. 
    View on Springer
    arxiv.org
    20 Citations
    Highly Influential Citations
    3
    Background Citations
    8
    Methods Citations
    1
    Results Citations
    1

    Figures from this paper

    Figures

    20 Citations
    Citation Type

    Citation Type

    Explicit Formulas for the Pair Correlation of Vertical Shifts of Zeros of the Riemann's Zeta-Function
    The pair correlation of homotetic images of zeros of the Riemann zeta-function
    • 2
    Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions
    Unnormalized differences between zeros of L-functions
    • 6
    • PDF
    On the Vertical Distribution of the a-Points of the Selberg Zeta-Function Attached to a Finite Volume Riemann Surface*
    • PDF
    Two arguments that the nontrivial zeros of the Riemann zeta function are irrational
    • 3
    • PDF
    An upper bound for discrete moments of the derivative of the Riemann zeta-function
    • 1
    • PDF
    Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions
    • 9
    • PDF
    THE a-POINTS OF THE SELBERG ZETA-FUNCTION ARE UNIFORMLY DISTRIBUTED MODULO ONE
    • 3
    • PDF
    Simple Zeros Of The Zeta Function
    • 1
    • PDF

    References

    SHOWING 1-10 OF 53 REFERENCES
    On the distribution of imaginary parts of zeros of the Riemann zeta function
    • 27
    • PDF
    The Theory of the Riemann Zeta-Function
    • 2,703
    Primes and zeros in short intervals.
    • 30
    • Highly Influential
    On the uniformity of the distribution of the zeros of the Riemann zeta function.
    • 21
    • Highly Influential
    Pair correlation of zeros of the zeta function.
    • 398
    • PDF
    Zeroes of zeta functions and symmetry
    • 367
    • PDF
    Zeros of Hecke L-functions associated with cusp forms
    • 27
    • PDF
    On the distribution of spacings between zeros of the zeta function
    • 347
    • PDF
    Explicit formulas for the pair correlation of zeros of functions in the Selberg class
    • 20
    • PDF
    Ten lectures on the interface between analytic number theory and harmonic analysis
    • 567