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1: 27.18 Methods of Computation: Primes

… ►Explanations are given in Cohen (1993, §9.1) and Crandall and Pomerance (2005, §4.4). … ►Explanations are given in Cohen (1993, §9.2) and Crandall and Pomerance (2005, §7.6).

2: Staff

… ►Neil Agrawal, Nina Agrawal, Joon Bang, Kevin Chen, Hannah Cohen, Jürgen Gerhard, André Greiner-Petter, Amanda Hu, Moritz Schubotz, Nina Tang, Grace Tang, Tanay Wakhare.

3: 23.17 Elementary Properties

… ►For further results for $J\left(\tau \right)$ see Cohen (1993, p. 376). …

4: Bibliography C

… ►

An extension of the method of steepest descents. Proc. Cambridge Philos. Soc. 53, pp. 599–611.

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External Links:

MathReview (P. Henrici), ZentralBlatt

Referenced by:

§2.4(v).

Encodings:

BibTeX

… ►

A Course in Computational Algebraic Number Theory. Springer-Verlag, Berlin-New York.

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External Links:

ISBN 3-540-55640-0, 0-387-55640-0, MathReview (Joe P. Buhler), ZentralBlatt

Referenced by:

§23.17(i), §27.18, §27.18.

Encodings:

BibTeX

… ►

Advanced Combinatorics: The Art of Finite and Infinite Expansions. enlarged edition, D. Reidel Publishing Co., Dordrecht.

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Notes:

Revised and enlarged English translation by D. Reidel of Analyse Combinatoire, Tomes I, II, Presses Universitaires de France, Paris, 1970.

External Links:

ISBN 90-277-0441-4, MathReview, ZentralBlatt

Referenced by:

§26.3(i), §26.3(iii), §26.3(iv), §26.3(v), §26.4(i), §26.4(ii), §26.4(iii), §26.5(i), §26.5(ii), §26.5(iii), §26.6(i), §26.6(ii), §26.6(iii), §26.7(i), §26.7(ii), §26.7(iii), §26.8(i), §26.8(ii), §26.8(iv), §26.8(v), Ch.26.

Encodings:

BibTeX

…

5: Bibliography P

… ►

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Notes:

Computer algebra system designed for computations in number theory. Many transcendental functions are also included. PARI is also available as a C library to allow for faster computations. Originally developed by Henri Cohen and co-workers at the Université Bordeaux I.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index.

Encodings:

BibTeX

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Evaluation of the Fermi-Dirac integral of half-integer order. Zastos. Mat. 21 (2), pp. 289–301.

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External Links:

ISSN 0044-1899, MathReview (Alan M. Cohen), ZentralBlatt

Referenced by:

§25.18(i).

Encodings:

BibTeX

… ►

On the computation of zeros and turning points of Bessel functions. Bull. Soc. Math. Grèce (N.S.) 31, pp. 117–122.

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External Links:

MathReview (Alan M. Cohen), ZentralBlatt

Referenced by:

§10.76(ii).

Encodings:

BibTeX

…

6: Bibliography V

… ►

Accurate calculation of prolate spheroidal radial functions of the first kind and their first derivatives. Quart. Appl. Math. 60 (3), pp. 589–599.

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Notes:

For software, see Van Buren (website)

External Links:

ISSN 0033-569X, MathReview (Alan M. Cohen), ZentralBlatt

Referenced by:

§30.16(iii).

Encodings:

BibTeX

…

7: Bibliography L

… ►

Monotonicity results and inequalities for the gamma and error functions. J. Comput. Appl. Math. 23 (1), pp. 25–33.

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External Links:

ISSN 0377-0427, Document, MathReview (M. E. Cohen), ZentralBlatt

Referenced by:

§7.8.

Encodings:

BibTeX

…

8: Bibliography B

… ►

Extrapolation Methods. Theory and Practice. Studies in Computational Mathematics, Vol. 2, North-Holland Publishing Co., Amsterdam.

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Notes:

With 1 IBM-PC floppy disk (5.25 inch)

External Links:

ISBN 0-444-88814-4, MathReview (Alan M. Cohen), ZentralBlatt

Referenced by:

§3.9(iii), §3.9(iv), §3.9(v), §3.9(vi).

Encodings:

BibTeX

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9: 2.4 Contour Integrals

… ►

§2.4(v) Coalescing Saddle Points: Chester, Friedman, and Ursell’s Method

… ►For examples, proofs, and extensions see Olver (1997b, Chapter 9), Wong (1989, Chapter 7), Olde Daalhuis and Temme (1994), Chester et al. (1957), Bleistein and Handelsman (1975, Chapter 9), and Temme (2015). …

10: Wadim Zudilin

… ►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). …