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Original Articles

Bounds for the Density of Abundant Integers

Pages 137-143 | Published online: 03 Apr 2012

REFERENCES

  • Behrend , F. 1933 . “Über Numeri abundantes, II” . Sitzungsber. Preuss. Akad. Wiss. , : 280 – 293 . [Behrend 1933]
  • Davenport , H. 1933 . “Über Numeri abundantes” . Sitzungsber. Preuss. Akad. Wiss. , : 830 – 837 . [Davenport 1933]
  • Del , M. and Nicolas , J.-L. 1994 . “Sur les entiers inférieurs á x ayant plus de log(x) diviseurs” . J. Théor. Nombres Bordeaux , 6 ( 2 ) : 327 – 357 . [Deléglise and Nicolas 1994]
  • Elliott , P. D. T. A. 1979 . Probabilistic number theory, I: Mean-value theorems New York : Grundlehren der Mathematischen Wissenschaften, Springer. . [Elliott 1979]
  • Glaisher , W. L. 1891 . “On the sums of the inverse powers of the prime numbers” . Quaterly Journal of Math. , 25 : 347 – 362 . [Glaisher 1891]
  • Martinet , J. , Deshouillers , J. M. and Cohen , H. 1973 . “La fonction somme des diviseurs”. ” . In Séminaire de Théorie des Nombres Talence : Lab. Théorie des Nombres, Centre Nat. Recherche Sci. . [Martinet et al. 1973], Exp. No. 11, 1972–1973 (Univ. Bordeaux I, Talence)
  • Tenenbaum , G. 1995 . Introduction à la théorie analytique et probabiliste des nombres, , 2nd ed. Paris : Soc. math. France. . [Tenenbaum 1995], Cours spécialisés 1
  • Wall , C. R. 1972 . “Density bounds for the sum of divisors function”. ” . In The theory of arithmetic functions (Kalamazoo, Mich., 1971) Edited by: Gioia , A. A. and Goldsmith , D. L. 283 – 287 . Berlin : Springer. . [Wall 1972], Lecture Notes in Math. 251

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