Probability and prime numbers

  • S. Ducray


Initial Point Prime Number Cove Cluster Point Iterate Logarithm 
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  1. 1.
    Prachar, K. ..Primzahlverteilung, Berlin, 1957, p. 157ff.Google Scholar
  2. 2.
    Ricci, G... “Sul pennello di quasi-asintoticitå della differenza di interi primi consecutivi,”Atti. Accad. Naz. Lincei (Rendiconti), serie 8, 1954–55,17, 192–96 and 347–51.MathSciNetGoogle Scholar
  3. 3.
    In a private communication of Prof. P. Erdös to Prof. D. D. Kosambi.Google Scholar
  4. 4.
    Kosambi, D. D... “The sampling distribution of primes,”Proc. Nat. Acad. Sci. (USA), 1963,49, 20–23.MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Feller, W. ..An Introduction to Probability Theory and its Applications (New York), 1950, Vol. 1, for the laws of large numbers and of the iterated logarithm, pp. 157–61.Google Scholar
  6. 6.
    ----- ..Ibid., p. 154.Google Scholar
  7. 7.
    Ducray, S. .. “Normal Sequences,” to appear in theJ. Uni. Bombay.Google Scholar

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© Indian Academy of Sciences 1964

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  • S. Ducray

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