686
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A New Reason for Doubting the Riemann Hypothesis

References

  • [Blanc 14] P. Blanc. “An Unexpected Property of Odd Order Derivatives of Hardy’s Function.” Publ. l’Inst. Math. (Beograd). 95:109 (2014), 173–188.
  • [Blanc 15] P. Blanc. “Optimal Upper Bound for the k-th Derivative of Hardy’s Function.” J. Number Theory 154 (2015), 105–117.
  • [Blanc] P. Blanc. “A New Bound for the Error Term in the Approximate Functional Equation for the Derivatives of Hardy’s Z-Function.” submitted (https://arxiv.org/pdf/1809.00735.pdf).
  • [Bober and Hiary 18] J. W. Bober and G. A. Hiary. “New Computations of the Riemann Zeta Function on the Critical Line.” Exp. Math. 27:2 (2018), 125–137.
  • [Borwein et al. 08] P. Borwein, S. Choi, B. Rooney, and A. Weirathmueller (Eds.). The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike. New York–London: Springer, 2008.
  • [Edwards 74] H. M. Edwards. Riemann’s Zeta Function. New York–London: Academic Press, 1974.
  • [Hiary] G. A. Hiary. “Description of the Algorithm and Some Numerical Results.” (https://people.math.osu.edu/hiary.1/fastmethods.html).
  • [Ivić 13] A. Ivić. The Theory of Hardy’s Z-function. Cambridge: Cambridge University Press, 2013 (Cambridge tracts in mathematics 196).
  • [Montgomery 77] H. L. Montgomery. “Extreme Values of the Riemann Zeta Function.” Comm. Math. Helv. 52 (1977), 511–518.
  • [Mueller 82] J. H. Mueller. “On the Riemann Zeta-Function ζ(s)-Gaps Between Sign Changes of S(t).” Mathematika 29 (1982), 264–269.
  • [Titchmarsh 86] E. C. Titchmarsh. The Theory of the Riemann Zeta-Function, Second edition. New York: The Clarendon Press, Oxford University Press, 1986.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.