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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). …Robinson Award of the Canadian Mathematical Society. He is a member of several editorial boards including the series Monographs in Number Theory published by World Scientific. ►In November 2015, Zudilin was named Associate Editor for the following DLMF Chapter …

2: Bibliography B

… ►

Asymptotic methods in enumeration. SIAM Rev. 16 (4), pp. 485–515.

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External Links:

Document, MathReview (Bernard Harris), ZentralBlatt

Referenced by:

Ch.2.

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… ►

Uniform approximation: A new concept in wave theory. Science Progress (Oxford) 57, pp. 43–64.

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Referenced by:

§36.14(i), §9.16.

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… ►

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).

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… ►

A Course in Computational Number Theory. Key College Publishing, Emeryville, CA.

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Notes:

With 1 CD-ROM (Windows, Macintosh and UNIX) containing a collection of Mathematica programs for computations in number theory.

External Links:

ISBN 1-930190-10-7, MathReview (Samuel S. Wagstaff, Jr.), ZentralBlatt

Referenced by:

§27.12, §27.19, §27.21, 2nd item, Profile David M. Bressoud.

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… ►

Criterion for Existence of a Bound State In One Dimension. American Journal of Physics 68 (2), pp. 160–161.

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External Links:

Document

Referenced by:

§1.18(viii).

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3: George E. Andrews

… ►He has a long-term interest in the work of S. …He is now collaborating with Bruce Berndt on a series of volumes explicating the brilliant and sometimes enigmatic ideas in this notebook. ►Andrews was elected to the American Academy of Arts and Sciences in 1997, and to the National Academy of Sciences (USA) in 2003. …In 2009 he became a SIAM Fellow. …Andrews served as President of the AMS from February 1, 2009 to January 31, 2011, and became a Fellow of the AMS in 2012. …

4: Bibliography Y

… ►

Generalized Hypergeometric Functions and Laguerre Polynomials in Two Variables. In Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications (Tampa, FL, 1991), Contemporary Mathematics, Vol. 138, pp. 239–259.

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External Links:

MathReview (B. M. Agrawal), ZentralBlatt

Referenced by:

§35.10.

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… ►

Partitions with difference conditions and Alder’s conjecture. Proc. Natl. Acad. Sci. USA 101 (47), pp. 16417–16418.

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External Links:

ISSN 1091-6490, FullText, Document, MathReview (Scott D. Ahlgren), ZentralBlatt

Referenced by:

§26.10(iv).

Encodings:

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The calculation of the Riemann zeta function in the complex domain. USSR Comput. Math. and Math. Phys. 25 (2), pp. 111–119.

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External Links:

Document, ZentralBlatt

Referenced by:

§25.18(i).

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Computation of the derivatives of the Riemann zeta-function in the complex domain. USSR Comput. Math. and Math. Phys. 28 (4), pp. 115–124.

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Notes:

Includes Fortran programs.

External Links:

Document, ZentralBlatt

Referenced by:

§25.18(i), §25.21(iii).

Encodings:

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… ►

Coulomb wave functions in repulsive fields. Phys. Rev. 49 (2), pp. 174–189.

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External Links:

Document, ZentralBlatt

Referenced by:

§33.10(i), §33.2(ii), §33.2(iii), §33.2(iv), §33.5(i), §33.5(iv), §33.9(ii).

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5: 1 Algebraic and Analytic Methods

… …

6: Viewing DLMF Interactive 3D Graphics

… ►WebGL is a JavaScript API (application programming interface) for rendering 3D graphics in a web browser without the use of a plugin. …WebGL is supported in the current versions of most common web browsers. ►While WebGL reportedly works with Internet Explorer 11 in Windows 8. … ►In fact, we have not found a VRML/X3D browser or plugin that works consistently with our VRML/X3D visualization files in Linux. Linux users must view the visualizations in a WebGL-enabled browser. …

7: Foreword

… ►In 1964 the National Institute of Standards and Technology published the Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by Milton Abramowitz and Irene A. … The success of the original handbook, widely referred to as “Abramowitz and Stegun” (“A&S”), derived not only from the fact that it provided critically useful scientific data in a highly accessible format, but also because it served to standardize definitions and notations for special functions. … ►Certainly, advances in applied mathematics have continued unabated. … ►The production of these new resources has been a very complex undertaking some 10 years in the making. This could not have been done without the cooperation of many mathematicians, information technologists, and physical scientists both within NIST and externally. …

8: 27.15 Chinese Remainder Theorem

… ►The Chinese remainder theorem states that a system of congruences $x\equiv a_1(mod{m}_1),\mathrm{\dots },x\equiv a_k(mod{m}_k)$, always has a solution if the moduli are relatively prime in pairs; the solution is unique (mod $m$), where $m$ is the product of the moduli. ►This theorem is employed to increase efficiency in calculating with large numbers by making use of smaller numbers in most of the calculation. …Their product $m$ has 20 digits, twice the number of digits in the data. … ►Even though the lengthy calculation is repeated four times, once for each modulus, most of it only uses five-digit integers and is accomplished quickly without overwhelming the machine’s memory. Details of a machine program describing the method together with typical numerical results can be found in Newman (1967). …

9: Ira Gessel

… ► 1951 in Philadelphia, Pennsylvania) is Professor Emeritus in the Department of Mathematics at Brandeis University in Waltham, Massachusetts. …from the Massachusetts Institute of Technology in 1977. Gessel has published numerous papers in enumerative combinatorics. He is a Fellow of the American Mathematical Society. ►In November 2015, Gessel was named Associate Editor of the following DLMF Chapter …

10: Ian J. Thompson

Profile
Ian J. Thompson

… ►Ian J. Thompson (b.  1953 in New Zealand) has been since 2006 a Theoretical Nuclear Physicist in the Nuclear Theory and Modeling Group of the Lawrence Livermore National Laboratory, Livermore, California. …at Auckland, New Zealand in 1979. ►Thompson has published papers on special functions, and numerous papers in theoretical nuclear physics, especially in scattering theory. …