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Journal of Discrete Mathematical Sciences and Cryptography Volume 24, 2021 - Issue 1
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Research Article

Logarithmic densities in number theory. Part II: Logarithmic densities of arithmetic functions

Noureddine Daili1 Cité des 300 Lots. Yahiaoui, 51 rue Harrag Senoussi. 19000, Sétif, Algeria;2 Department of Mathematics, Faculty of Sciences, University Setif 1, El Bez19000, Setif, AlgeriaCorrespondence[email protected]
Pages 53-70 | Received 01 Dec 2018, Published online: 07 Mar 2021

References

  • N. Daili, Logarithmic Densities in number theory. Part I: Logarithmic Densities of subsets E of ℕ*, International Journal of Mathematics, Game Theory and Algebra, Vol. 27, Number 4, pp. 1-22 (2018).
  • N. Daili, Abelian-Tauberian theorems connected with densities, JP Jour. Algebra, Number Theory & Appl. (JPANTA) 11(1) , pp. 99-112 (2008).
  • N. Daili, Hp, p ∊ ℕ*, H∞-Densities in number theory. Part II: Hp, Hp, p ∊ ℕ*, H∞-Densities of arithmetic functions, JP Jour. Algebra, Number Theory & Appl. (JPANTA) 9(1), pp. 81-93 (2007).
  • N. Daili, Hp, p ∊ ℕ*, H∞-Densities in number theory. Part I: Hp, Hp, p ∊ ℕ*, H∞-Densities of subsets, JP Jour. Algebra, Number Theory & Appl. (JPANTA) 9(1), pp. 61-79 (2007).
  • N. Daili, Analytic densities in number theory. Part II: Analytic densities of arithmetic functions, Internatinal Jour., Mathematics and analysis, February 2006, Vol.-1, no. 2, pp. 205-227.
  • N. Daili, Analytic densities in number theory. Part I: Analytic densities of subsets, Far east J. Math. Sci. (FJMS) 20(2), pp. 219-240 (2006).
  • N. Daili, Asymptotic densities in number Theory. Part II: Asymptotic densities of arithmetic functions, JP Jour. Algebra, Number Theory & Appl. 5(3), pp. 513-533 (2005).
  • N. Daili, Asymptotic densities in number Theory. Part I: A Survey, JP Jour. Algebra, Number Theory & Appl. 5(3), pp. 513-533 (2005).
  • P. Diaconis, Weak and strong averages in probability and the theory of numbers, Ph. D. dissertation, Harvard University, Cambridge, Mass. 1974.
  • A. O. Gelfond - Y. V. Linnik, Elementary methods in analytic number theory, London, 1966.
  • G. H. Hardy - E. M. Wright, An introduction to the theory of numbers, Oxford, Univ. Press. London, 1949.
  • E. Landau, Handbuch der lehre von der verteilung der primzahlen, Teubner, Leipzig, (1909).
  • R. Scozzafava, Un esempio concreto di probabilità non s -additiva : La distribuzione della prima cifra significativa dei dati statistici. Boll. U. M. I. (5)18-App. 403-410 (1981).

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