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1: Staff
  • David M. Bressoud, Macalester College, Chap. 26

  • Bernard Deconinck, University of Washington, Chap. 21

  • Karl Dilcher, Dalhousie University, Chap. 24

  • Karl Dilcher, Dalhousie University, for Chap. 24

  • Ira Gessel, Brandeis University, for Chap. 26

  • 2: 25.10 Zeros
    More than 41% of all the zeros in the critical strip lie on the critical line (Bui et al. (2011)). …
    3: About MathML
    In rare cases, a browser lacks both MathML support and a robust enough javascript implementation capable of running MathJax; you may wish to visit the Customize DLMF page and choose the HTML+images document format. … The Firefox browser has traditionally had the strongest support for MathML and its native MathML is used by default. …
    4: Bibliography B
  • H. M. Bui, B. Conrey, and M. P. Young (2011) More than 41% of the zeros of the zeta function are on the critical line. Acta Arith. 150 (1), pp. 35–64.
  • 5: Errata
  • Subsection 25.10(ii)

    In the paragraph immediately below (25.10.4), it was originally stated that “more than one-third of all zeros in the critical strip lie on the critical line.” which referred to Levinson (1974). This sentence has been updated with “one-third” being replaced with “41%” now referring to Bui et al. (2011) (suggested by Gergő Nemes on 2021-08-23).

  • 6: Peter L. Walker
    Walker is now retired and living in Cheltenham, UK. …
    7: William P. Reinhardt
    Reinhardt was elected to Fellowship in: The American Physical Society 1980, the American Association for the Advancement of Science 1983, Phi Beta Kappa 1998, and The Institute of Physics (UK) 2000. …
    8: Software Index
  • Research Software.

    This is software of narrow scope developed as a byproduct of a research project and subsequently made available at no cost to the public. The software is often meant to demonstrate new numerical methods or software engineering strategies which were the subject of a research project. When developed, the software typically contains capabilities unavailable elsewhere. While the software may be quite capable, it is typically not professionally packaged and its use may require some expertise. The software is typically provided as source code or via a web-based service, and no support is provided.

  • 9: Charles W. Clark
    He has been a Visiting Fellow at the Australian National University, a Dr. Lee Fellow at Christ Church College of the University of Oxford, and Visiting Professor at the National University of Singapore. …
    10: Leonard C. Maximon
    He had been an Assistant Professor in the Graduate Division of Applied Mathematics at Brown University, a Visiting Professor at the Norwegian Technical University in Trondheim, Norway, and a Physicist at the Center for Radiation Research at the National Bureau of Standards. …