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1: 25.10 Zeros
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►More than 41% of all the zeros in the critical strip lie on the critical line (Bui et al. (2011)).
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2: Bibliography B
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More than 41% of the zeros of the zeta function are on the critical line.
Acta Arith. 150 (1), pp. 35–64.
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3: 12.16 Mathematical Applications
4: 8.24 Physical Applications
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§8.24(ii) Incomplete Beta Functions
►The function appears in: Monte Carlo sampling in statistical mechanics (Kofke (2004)); analysis of packings of soft or granular objects (Prellberg and Owczarek (1995)); growth formulas in cosmology (Hamilton (2001)). …5: Errata
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Subsection 25.10(ii)
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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: Charles W. Clark
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►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.
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7: 8.21 Generalized Sine and Cosine Integrals
8: Leonard C. Maximon
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►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.
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9: Wadim Zudilin
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►He has been an Associate Professor at Moscow State University (Russia), an Ostrowski Fellow at Institut Henri Poincaré and Université Paris 6 (France), a Humboldt Fellow at the Cologne University (Germany) and a Visiting Researcher at the Max Planck Institute for Mathematics in Bonn (Germany).
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