Further evaluation of Khintchine’s constant
HTML articles powered by AMS MathViewer
- by John W. Wrench PDF
- Math. Comp. 14 (1960), 370-371 Request permission
References
- A. Khintchine, Metrische Kettenbruchprobleme, Compositio Math. 1 (1935), 361–382 (German). MR 1556899
- Mark Kac, Statistical independence in probability, analysis and number theory. , The Carus Mathematical Monographs, No. 12, Mathematical Association of America; distributed by John Wiley and Sons, Inc., New York, 1959. MR 0110114
- D. H. Lehmer, Note on an Absolute Constant of Khintchine, Amer. Math. Monthly 46 (1939), no. 3, 148–152. MR 1524526, DOI 10.2307/2302463 D. Shanks, MTE 164, MTAC, v. 4, 1950, p. 28. R. Sherman Lehman, A Study of Regular Continued Fractions, BRL Report No. 1066, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland, February 1959.
- Paul Lévy, Sur le développement en fraction continue d’un nombre choisi au hasard, Compositio Math. 3 (1936), 286–303 (French). MR 1556945
- Daniel Shanks and J. W. Wrench Jr., Khintchine’s constant, Amer. Math. Monthly 66 (1959), 276–279. MR 103167, DOI 10.2307/2309633 K. Knopp, Theory and Application of Infinite Series, (trans. from second German edition), Blackie & Son, Ltd., London, 1928, p. 183, 237. H. T. Davis, Tables of the Higher Mathematical Functions, vol. II, The Principia Press, Bloomington, Indiana, 1935, p. 230-233. J. W. Wrench, Jr., “A New Table of ${\pi ^n}/n!$,” UMT 63, MTAC, v. 3, 1948/49, p. 42-43.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Math. Comp. 14 (1960), 370-371
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1960-0170455-1
- MathSciNet review: 0170455