pseudoprime test

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21—27 of 27 matching pages

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Number Theory Web (website)

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Notes:: References and links to software for factorization and primality testing.
External Links:: Home Page
Referenced by:: 6th item.
Encodings:: BibTeX

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error generating summary

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P. Groeneboom and D. R. Truax (2000) A monotonicity property of the power function of multivariate tests. Indag. Math. (N.S.) 11 (2), pp. 209–218.

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External Links:: ISSN 0019-3577, Document, MathReview (Sumitra Purkayastha), ZentralBlatt
Referenced by:: §35.9.
Encodings:: BibTeX

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M. D. Kruskal and P. A. Clarkson (1992) The Painlevé-Kowalevski and poly-Painlevé tests for integrability. Stud. Appl. Math. 86 (2), pp. 87–165.

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… ►For other tests for convergence see Titchmarsh (1962b, pp. 405–410). …

… ►For effective testing of Gaussian quadrature rules see Gautschi (1983). …

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Subsection 1.16(vii)

Several changes have been made to

(i)

make consistent use of the Fourier transform notations $\mathscr{F}\left(f\right)$ , $\mathscr{F}\left(\phi\right)$ and $\mathscr{F}\left(u\right)$ where $f$ is a function of one real variable, $\phi$ is a test function of $n$ variables associated with tempered distributions, and $u$ is a tempered distribution (see (1.14.1), (1.16.29) and (1.16.35));
(ii)

introduce the partial differential operator $\mathbf{D}$ in (1.16.30);
(iii)

clarify the definition (1.16.32) of the partial differential operator $P(\mathbf{D})$ ; and
(iv)

clarify the use of $P(\mathbf{D})$ and $P(\mathbf{x})$ in (1.16.33), (1.16.34), (1.16.36) and (1.16.37).

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