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11—14 of 14 matching pages

11: Bibliography J

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Note sur la série ${\sum }_{n=1}^{\mathrm{\infty }}{x}^n/n^s$ . Bull. Soc. Math. France 17, pp. 142–152 (French).

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External Links:

ISSN 0037-9484, MathReview Entry, ZentralBlatt

Referenced by:

§25.12(ii).

Encodings:

BibTeX

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12: 3.5 Quadrature

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Table 3.5.21: Cubature formulas for disk and square.

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Diagram	$(x_j,y_j)$	$w_j$	$R$
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13: Bibliography H

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Sur la distribution des zéros de la fonction $\zeta (s)$ et ses conséquences arithmétiques. Bull. Soc. Math. France 24, pp. 199–220 (French).

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Notes:

Reprinted in Oeuvres de Jacques Hadamard. Tomes I, pp. 189–210, Éditions du Centre National de la Recherche Scientifique, Paris, 1968.

External Links:

ISSN 0037-9484, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§25.10(i), §27.2(i).

Encodings:

BibTeX

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14: Errata

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The correct corner coordinates for the 9-point square, given on the last line of this table, are $(\pm \sqrt{\frac{3}{5}}h,\pm \sqrt{\frac{3}{5}}h)$. Originally they were given incorrectly as $(\pm \sqrt{\frac{3}{5}}h,0)$, $(\pm \sqrt{\frac{3}{5}}h,0)$.

Diagram	$(x_j,y_j)$	$w_j$	$R$
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	$(0,0)$	$\frac{16}{81}$	$O\left(h^6\right)$
	$(\pm \sqrt{\frac{3}{5}}h,0)$, $(0,\pm \sqrt{\frac{3}{5}}h)$	$\frac{10}{81}$
	$(\pm \sqrt{\frac{3}{5}}h,\pm \sqrt{\frac{3}{5}}h)$	$\frac{25}{324}$

Reported 2014-01-13 by Stanley Oleszczuk.

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