Integral operators arising from the Riemann zeta function

@article{Suzuki2019IntegralOA,
  title={Integral operators arising from the Riemann zeta function},
  author={M. Suzuki},
  journal={arXiv: Number Theory},
  year={2019}
}
  • M. Suzuki
  • Published 2019
  • Mathematics
  • arXiv: Number Theory
  • In this paper we have two issues coming from the same background. The first one is to describe a certain ratio of Fredholm determinants of integral operators arising from the Riemann zeta function by using the solution of a single integral equation. The second one is to introduce a new integral operator arising from the Riemann zeta function and to study its basic analytic properties. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 11 REFERENCES
    A Course of Modern Analysis
    • 7,800
    • PDF
    On the numerical evaluation of Fredholm determinants
    • 171
    • PDF
    Tables of Mellin transforms
    • 307
    On the Value-Distribution of Logarithmic Derivatives of Dirichlet L -Functions
    • 13
    • Highly Influential
    • PDF
    On log L and L'/L for L-Functions and the Associated "M-Functions": Connections in Optimal Cases
    • 21
    • Highly Influential
    • PDF
    Hamiltonians arising from L-functions in the Selberg class
    • 1
    • PDF
    On "M-functions" closely related to the distribution of L'/L-values (Proceedings of the Symposium on Algebraic Number theory and Related Topics)
    • Kôkyûroku Bessatsu
    • 2018
    • 2
    • Highly Influential
    • PDF
    On a new method for solving linear integral equations of the first and second kinds
    • 1955
    Hilbert Spaces of Entire Functions and Dirichlet L-Functions
    • 26
    M -functions" closely related to the distribution of L ′ /L-values
    • 2008