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References
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Alexandre Gossart, Table des Carrés de 1 à 100 Millions . . . Paris, 1865, 86 p. There are also copies of this book with the title beginning Table des Carrés de un à cent Millions.
These errata are given by J. C. P. Miller, in BAASMTC, Mathematical Tables, v. 9, Table of Powers. Cambridge 1940, p. xii.
Horwart, Questions dâArithmologie, Namur, Wesmael, 1940, p. 125.
Herbiet-Horwart, TraitĂ© dâArithmĂ©tique, Namur, Wesmael, 1933, p. 193-194.
Schons, TraitĂ© dâArithmĂ©tique, Namur, La Procure, 1938, p. 225.
J. W. L. Glaisher, âAn enumeration of prime-pairs,â Mess. Math., v. 8, p. 28-33, 1878. See also BAAS, Report, 1878, p. 470-471.
C. S. Sutton, âAn investigation of the average distribution of twin prime numbers,â Jn. Math. Physics, v. 16, 1937, p. 1-42.
A. J. C. Cunningham, Binomial Factorisations, v. 1. London, 1923, p. 23-33; v. 4, London, 1923, p. 19-37.
S. Hoppenot, Table des Solutions de la Congruence ${X^4} \equiv - 1(\bmod N)$ pour $100000 < N < 200000$, (Librairie du Sphinx). Brussels, 1935, 18 p.
- A. Gloden, Table des solutions de la congruence $X^4+1\equiv 0\pmod p$ pour $2.10^5<p<3.10^5$, Mathematica, TimiĆoara 21 (1945), 45â65 (French). MR 0013385 A. J. C. Cunningham, Binomial Factorisations, v. 1. London, 1923, p. 113-119. See also p. 139 for 38 cases of ${y^4} + 1$ with $y > 1000$. Erratum: $y = 2518$, for 461801, read 4681801. NBSMTP, Tables of Sine, Cosine and Exponential Integrals, 2 v., 1940. BAASMTC, Mathematical Tables, v. 1, Circular & Hyperbolic Functions, Exponential & Sine & Cosine Integrals . . ., second ed., 1946. Takeo Akahira, Tables of ${e^{ - x}}/x$ and $\int _x^\infty {{e^{ - u}}du/u}$ from $x = 20$ to $x = 50$, Institute of Phys. and Chem. Research, Sci. Papers, Tokyo, Table no. 3, 1929. P. L. Chebyshev, Akad. N., Leningrad, MĂ©moires, s. 7, v. 1, 1859, p. 1-24; and Oeuvres, St. Petersburg, v. 1, 1899, p. 473-498. (a) Charles Jordan, London Math. Soc., Proc., s. 2, v. 20, 1922, p. 322-325. The tables I-V are for ${q_\upsilon }(n,r)$, and table VI for ${S_\upsilon }(n),\upsilon = 1(1)5,n = 2(1)20,r = 0(1)11$. (b) T. Okaya [Methods of calculation, probability and statistics] (in Japanese), 1940. Hendrik W. Bode, Network Analysis and Feedback Amplifier Design, New York, 1945, chapters 14-15.
Additional Information
- © Copyright 1947 American Mathematical Society
- Journal: Math. Comp. 2 (1947), 202-218
- DOI: https://doi.org/10.1090/S0025-5718-47-99600-2