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1: Wadim Zudilin

… ► 1970 in the USSR) is Professor of Mathematics at the University of Newcastle (NSW, Australia). 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). …Zudilin is author or coauthor of numerous publications including the book Neverending Fractions, An Introduction to Continued Fractions published by Cambridge University Press in 2014. …Robinson Award of the Canadian Mathematical Society. …

2: Bibliography B

… ►

An Introduction to Linear Difference Equations. Dover Publications Inc., New York.

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Notes:

Unaltered republication of the original 1927 Harvard University edition.

External Links:

MathReview, ZentralBlatt

Referenced by:

§8.1, Notations P, Notations Q.

Encodings:

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The fifty-two icosahedral solutions to Painlevé VI. J. Reine Angew. Math. 596, pp. 183–214.

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External Links:

ISSN 0075-4102, Document, MathReview (Andrei A. Kapaev), ZentralBlatt

Referenced by:

§32.9(iii).

Encodings:

BibTeX

… ►

Pi and the AGM, A Study in Analytic Number Theory and Computational Complexity. Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons Inc., New York.

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External Links:

ISBN 0-471-83138-7, MathReview (H. London), ZentralBlatt

Referenced by:

§19.35(i), §19.5, §19.8(i), §23.20(iv).

Encodings:

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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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External Links:

ISSN 0065-1036, Document, Link, MathReview (Timothy S. Trudgian), ZentralBlatt

Referenced by:

§25.10(ii), §25.10(ii), Erratum (V1.1.4) for Subsection 25.10(ii).

Encodings:

BibTeX

… ►

A Guide to Mathematical Tables: Supplement No. 1. Pergamon Press, New York.

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Notes:

Supplement to “A Guide to Mathematical Tables” by A. V. Lebedev and R. M. Fedorova.

External Links:

MathReview

Referenced by:

A. V. Lebedev and R. M. Fedorova (1960).

Encodings:

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3: Frank Garvan

… ► 1955 in Sydney, Australia) is a professor of mathematics at the University of Florida. … ►He is managing editor of the Ramanujan Journal, a journal devoted to areas of mathematics influenced by Ramanujan. …

4: William P. Reinhardt

… ►Reinhardt is a frequent visitor to the NIST Physics Laboratory in Gaithersburg, and to the Joint Quantum Institute (JQI) and Institute for Physical Sciences and Technology (ISTP) at the University of Maryland. … ►He has recently carried out research on non-linear dynamics of Bose–Einstein condensates that served to motivate his interest in elliptic functions. … ►This is closely connected with his interests in classical dynamical “chaos,” an area where he coauthored a book, Chaos in atomic physics with Reinhold Blümel. … ►He has been a National Lecturer for Sigma Xi and Phi Beta Kappa, as well as a Sloan, Dreyfus, and Guggenheim Fellow, and Fulbright Senior Scholar (Australia). … ►Reinhardt was a member of the original editorial committee for the DLMF project, in existence from the mid-1990’s to the mid-2010’s. …

5: Robb J. Muirhead

… ► 1946 in Adelaide, South Australia) is Senior Director, Statistical Research and Consulting Center, Pfizer Global R&D, New London, Connecticut. …

6: Frank W. J. Olver

… ►He also spent time as a Visiting Fellow, or Professor, at the University of Lancaster, U. …, the Royal Irish Academy, and the National University of Australia. … ►Olver continued to maintain a connection to NIST after moving to the university. …Fitting capstones to Olver’s long career, these works are on track to extend the legacy of the classic Abramowitz and Stegun handbook well into the 21st century. According to DLMF Project Lead Daniel Lozier, “Olver’s encyclopedic knowledge of the field, his clear vision for mathematical exposition, his keen sense of the needs of practitioners, and his unfailing attention to detail were key to the success of that project. …

7: 25.10 Zeros

… ►Calculations relating to the zeros on the critical line make use of the real-valued function …where … ►Sign changes of $Z(t)$ are determined by multiplying (25.9.3) by $\exp \left(\mathrm{i}\vartheta (t)\right)$ to obtain the Riemann–Siegel formula: …where $R(t)=O\left(t^{-1/4}\right)$ as $t\to \mathrm{\infty }$. … ►More than 41% of all the zeros in the critical strip lie on the critical line (Bui et al. (2011)). …

8: Sidebar 7.SB1: Diffraction from a Straightedge

… ►The intensity distribution follows ${|ℱ\left(x\right)|}^2$, where $ℱ$ is the Fresnel integral (See 7.3.4). …The faint circular patterns are additional diffraction effects due to imperfections in the edge.

9: Possible Errors in DLMF

… ►One source of confusion, rather than actual errors, are some new functions which differ from those in Abramowitz and Stegun (1964) by scaling, shifts or constraints on the domain; see the Info box (click or hover over the icon) for links to defining formula. There are also cases where browser bugs or poor fonts can be misleading; you can verify MathML display by comparing the to the images or TeXfound under Encodings in the Info boxes (see About MathML). …

10: Stephen M. Watt

… ►Cheriton School of Computer Science at the University of Waterloo, where from 2015 to 2020 he also served as Dean of the Faculty of Mathematics. … ►Prior to joining the University of Waterloo, Watt was Distinguished University Professor of the University of Western Ontario and Professor at the University of Nice-Sophia Antipolis. …