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Mathematische Zeitschrift

, Volume 74, Issue 1, pp 66–80 | Cite as

Arithmetical functions associated with the unitary divisors of an integer

  • Eckford Cohen
Article

Keywords

Arithmetical Function Unitary Divisor 
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Bibliography

  1. [1]
    Cohen, E.: An extension ofRamanujan's sum, III. Connections with totient functions. Duke Math. J.23, 623–630 (1956).Google Scholar
  2. [2]
    Cohen, E.: Trigonometric sums in elementary number theory. Amer. Math. Monthly66, 105–117 (1959).Google Scholar
  3. [3]
    Dickson, L. E.: History of the Theory of Numbers, vol. I. New York, reprinted 1952.Google Scholar
  4. [4]
    Dirichlet, P. G. Lejeune: Vorlesungen über Zahlentheorie, 4th ed. Brunswick 1894 (edited byR. Dedekind).Google Scholar
  5. [5]
    Fekete, M.: Über die additive Darstellung einiger zahlentheoretischer Funktionen. Math. u. naturwiss. Berichte aus Ungarn26, 196–211 (1913).Google Scholar
  6. [6]
    Hardy, G. H., andE. M. Wright: Introduction to the Theory of Numbers, 3rd ed. Oxford 1954.Google Scholar
  7. [7]
    Lerch, M.: Démonstration élémentaire d'un théorème d'arithmétique. Sitzungsber. der Böhmischen Ges. Wiss., Prag, No. 2, 1903, 3pp.Google Scholar
  8. [8]
    Vaidyanathaswamy, R.: The theory of multiplicative arithmetical functions. Trans. Amer. Math. Soc.33, 579–662 (1931).Google Scholar
  9. [9]
    Wigert, S.: Sur quelques formules asymptotiques de la théorie des nombres. Arkiv för Mat. Astr. Fys.22, 6 pp. (1932).Google Scholar

Copyright information

© Springer-Verlag 1960

Authors and Affiliations

  • Eckford Cohen
    • 1
  1. 1.Dept. of Math.The University of TennesseeKnoxville(USA)

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