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On the zero-free region and the distribution of zeros of the prime zeta function Cover

On the zero-free region and the distribution of zeros of the prime zeta function

Open Access
|Jun 2025

References

  1. I. Belovas, M. Sabaliauskas, L. Kuzma, Series with binomial-like coefficients for the investigation of fractal structures associated with the Riemann zeta function, Fractal and fractional, 6(6:300), 1–21, (2022). https://doi.org/10.3390/fractalfract6060300
  2. H. Cohen, High precision computation of Hardy-Littlewood constants, 1998 (preprint), https://oeis.org/A221712/a221712.pdf
  3. K. Fischer, The Zetafast algorithm for computing zeta functions, arXiv 2017, https://arxiv.org/abs/1703.01414
  4. C.-E. Fröberg, On the prime zeta function, Nordisk Tidskr. Informations-behandling (BIT), 8(3): 187-202 (1968). https://doi.org/10.1007/BF01933420
  5. E. Landau, A. Walfisz, Über die Nichfortsetzbarkeit einiger durch Dirichletsche Reihen definierter Funktionen, Rend. Circ. Math. Palermo, 44: 82–86 (1920).
  6. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 1986, 2nd Edition, Oxford.
  7. I. Belovas, R. Čepaitytė, M. Sabaliauskas, Prime Zeta Zeros, 2024. https://github.com/akatasis/prime-zeta-zeros
DOI: https://doi.org/10.2478/auom-2025-0017 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 27 - 44
Submitted on: Oct 7, 2024
Accepted on: Feb 28, 2025
Published on: Jun 3, 2025
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2025 Igoris Belovas, Rugilė Čepaitytė, Martynas Sabaliauskas, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.