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Mathematics of Computation
Mathematics of Computation
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Journal: Math. Comp. 23 (1969), 675-689
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Math. Comp., v. 21, 1967, pp. 258-259, UMT 17.
  • [2] Math. Comp., v. 22, 1968, p. 234, UMT 22.
  • [3] Math. Comp., v. 22, 1968, pp. 899-900, UMT 86.
  • [1] Daniel Shanks & John W. Wrench, Jr., "Calculation of $ \pi $ to 100,000 decimals," Math. Comp., v. 16, 1962, pp. 76-99.
  • [1] A. A. Bennett, "Note on an operation of the third grade," Ann. of Math., v. 17, 1915-1916, pp. 74-75.
  • [2] Morgan Ward, Note on the iteration of functions of one variable, Bull. Amer. Math. Soc. 40 (1934), no. 10, 688–690. MR 1562953, http://dx.doi.org/10.1090/S0002-9904-1934-05942-1
  • [3] Morgan Ward and F. B. Fuller, The continuous iteration of real functions, Bull. Amer. Math. Soc. 42 (1936), no. 6, 393–396. MR 1563308, http://dx.doi.org/10.1090/S0002-9904-1936-06311-1
  • [4] A. Zavrotsky, "Construccion de una escala continua de las operaciones aritmeticas," Revista Ciencia e Ingeniería de la Facultad de Ingeniería de la Universidad de los Andes, Mérida, Venezuela, December 1960, No. 7, pp. 38-53. (See Math. Comp., v. 15, 1961, pp. 299-300, RMT 63.)
  • [1] J. J. Sylvester, "On the number of fractions contained in any Farey series ...," Philos. Mag., v. 15, 1883, pp. 251-257.
  • [2] J. W. L. Glaisher, Number-divisor Tables, British Association for the Advancement of Science, Mathematical Tables, vol. 8. Cambridge University Press, Cambridge, England, 1940. MR 0002328 (2,33g)
  • [3] Derrick Henry Lehmer, Guide to Tables in the Theory of Numbers, Bulletin of the National Research Council, no. 105, National Research Council, Washington, D. C., 1941. MR 0003625 (2,247a)
  • [1] Edward T. Ordman, Tables of the Class Number for Negative Prime Discriminants, UMT 29, Math. Comp., v. 23, 1969, p. 458.
  • [1] Lt. Col. Allan J. C. Cunningham, H. J. Woodall & T. G. Creak, Haupt-Exponents, Residue-Indices, Primitive Roots, and Standard Congruences, F. Hodgson, London, 1922.
  • [2] J. C. P. Miller, Table of Primitive Roots, Math. Comp., v. 17, 1963, pp. 88-89, UMT 2.
  • [3] Daniel Shanks, On maximal gaps between successive primes, Math. Comp. 18 (1964), 646–651. MR 0167472 (29 #4745), http://dx.doi.org/10.1090/S0025-5718-1964-0167472-8
  • [4] C. A. Nichol, John L. Selfridge & Lowry McKee, A Table of Indices and Power Residues for all Primes and Prime Powers below 2000, W. W. Norton, New York, 1962. (See Math. Comp., v. 17, 1963, pp. 463-464, RMT 72.)
  • [1] J. W. L. Glaisher, "An enumeration of prime-pairs," Messenger of Math., v. 8, 1878, pp. 28-33.
  • [2] G. H. Hardy & J. E. Littlewood, "Partitio numerorum III: On the expression of a number as a sum of primes," Acta Math., v. 44, 1923, pp. 1-70.
  • [3] C. S. Sutton, "An investigation of the average distribution of twin prime numbers," J. Math. and Phys., v. 16, 1937, pp. 1-42.
  • [4] C. R. Sexton, "Counts of twin primes less than 100000," MTAC, v. 8, 1954, pp. 47-49, Note 158.
  • [5] D. H. Lehmer, "Tables concerning the distribution of primes up to 37 millions," 1957, ms. deposited in UMT file. (See MTAC, v. 13, 1959, pp. 56-57, RMT 3.)
  • [6] F. Gruenberger & G. Armerding, Statistics on the First Six Million Prime Numbers, Rand Corporation, Santa Monica, California, 1961. (See Math. Comp., v. 19, 1965, pp. 503-505, RMT 73.)
  • [7] Carl-Erik Fröberg, "On the sum of inverses of primes and of twin primes," Nordisk Mat. Tidskr. Informations-Behandling, v. 1, 1961, pp. 15-20.


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-69-99858-5
PII: S 0025-5718(69)99858-5
Article copyright: © Copyright 1969 American Mathematical Society