Questions concerning Khintchine's constant and the efficient computation of regular continued fractions
Authors:
John W. Wrench, Jr. and Daniel Shanks
Journal:
Math. Comp. 20 (1966), 444448
Corrigendum:
Math. Comp. 21 (1967), 130.
Fulltext PDF Free Access
References 
Additional Information
 [1]
Daniel Shanks, (Reviewer), RMT 11, 12, (Review of two translations of Khintchine's Continued Fractions), Math. Comp., v. 20, 1966, pp. 171173.
 [2]
Daniel
Shanks and J.
W. Wrench Jr., Khintchine’s constant, Amer. Math.
Monthly 66 (1959), 276–279. MR 0103167
(21 #1950)
 [3]
J. W. Wrench, Jr., "Further evaluation of Khintchine's constant," Math. Comp., v. 14, 1960, pp. 370371.
 [4]
D.
H. Lehmer, Euclid’s Algorithm for Large Numbers, Amer.
Math. Monthly 45 (1938), no. 4, 227–233. MR
1524250, http://dx.doi.org/10.2307/2302607
 [5]
D. E. Kntjth, "Euler's constant to 1271 places," Math. Comp., v. 16, 1962, pp. 275281. MR 26 #5763.
 [6]
Daniel Shanks, "A study of postulates: The 'thermodynamic' derivation of the adiabatic gas law," Amer. J. Phys., v. 24, 1956, pp. 352354.
 [7]
Daniel
Shanks, Solved and unsolved problems in number theory. Vol. I,
Spartan Books, Washington, D.C., 1962. MR 0160741
(28 #3952)
 [1]
 Daniel Shanks, (Reviewer), RMT 11, 12, (Review of two translations of Khintchine's Continued Fractions), Math. Comp., v. 20, 1966, pp. 171173.
 [2]
 Daniel Shanks & J. W. Wrench, Jr., "Khintchine's constant," Amer. Math. Monthly, v. 66, 1959, pp. 276279. MR 21 #1950. MR 0103167 (21:1950)
 [3]
 J. W. Wrench, Jr., "Further evaluation of Khintchine's constant," Math. Comp., v. 14, 1960, pp. 370371.
 [4]
 D. H. Lehmer, "Euclid's Algorithm for large numbers," Amer. Math. Monthly, v. 45, 1938, pp. 227233. MR 1524250
 [5]
 D. E. Kntjth, "Euler's constant to 1271 places," Math. Comp., v. 16, 1962, pp. 275281. MR 26 #5763.
 [6]
 Daniel Shanks, "A study of postulates: The 'thermodynamic' derivation of the adiabatic gas law," Amer. J. Phys., v. 24, 1956, pp. 352354.
 [7]
 Daniel Shanks, "Is the quadratic reciprocity law a deep theorem?" Solved and Unsolved Problems in Number Theory, Vol. 1, Spartan, Washington, 1962, p. 65, see (a). MR 28 #3952. MR 0160741 (28:3952)
Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571866999200
PII:
S 00255718(66)999200
Article copyright:
© Copyright 1966
American Mathematical Society
