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On the distribution of round numbers

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Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1122))

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References

  1. P. Erdös, On the integers having exactly K prime factors, Ann. of Math. (2) 49 (1948), 53–66.

    Article  MathSciNet  MATH  Google Scholar 

  2. P. Erdös and J.L. Nicolas, Sur la fonction: nombre de facteurs premiers de n, L'Enseignement Math. 27 (1981), 3–27.

    MathSciNet  Google Scholar 

  3. G.H. Hardy and S. Ramanujan, The normal number of prime factors of a number n, Quarterly J. Math. 48 (1917), 76–92.

    MATH  Google Scholar 

  4. G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers, Fourth Ed., Oxford, 1968.

    MATH  Google Scholar 

  5. G. Kolesnik and E.G. Straus, On the distribution of integers with a given number of prime factors, Acta Arith. 37(1980), 181–199.

    MathSciNet  MATH  Google Scholar 

  6. E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea Publishing Co., New York, 1953.

    MATH  Google Scholar 

  7. J.L. Nicolas, Sur la distribution des nombres entiers ayant une quantite fixee de facteurs premiers, Acta Arith., to appear.

    Google Scholar 

  8. J.L. Nicolas and G. Tenenbaum, private communication.

    Google Scholar 

  9. K.K. Norton, On the number of restricted prime factors of an integer. I, Illinois J. Math. 20(1976), 681–705; II, Acta Math. 143 (1979), 9–38; III, L'Enseignement Math. 28(1982), 31–52.

    MathSciNet  MATH  Google Scholar 

  10. L.G. Sathe, On a problem of Hardy on the distribution of integers having a given number of prime factors, J. Indian Math. Soc. (N.S.) 17(1953), 63–141; 18(1954), 27–81.

    MathSciNet  MATH  Google Scholar 

  11. A. Selberg, Note on a paper by L.G. Sathe, J. Indian Math. Soc. (N.S.) 18(1954), 83–87.

    MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Georgia, 30602, Athens, Georgia, USA

    Carl Pomerance

Authors
  1. Carl Pomerance
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Editor information

Krishnaswami Alladi

Additional information

Dedicated to Paul Erdös on his seventieth birthday.

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© 1985 Springer-Verlag

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Pomerance, C. (1985). On the distribution of round numbers. In: Alladi, K. (eds) Number Theory. Lecture Notes in Mathematics, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075761

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  • DOI: https://doi.org/10.1007/BFb0075761

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15222-4

  • Online ISBN: 978-3-540-39642-0

  • eBook Packages: Springer Book Archive

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