Basic Tools

  • Olivier Bordellès
Part of the Universitext book series (UTX)


This chapter provides the main tools that will be used in the whole text. Particular attention has been paid to the partial summation process which is of constant use in multiplicative number theory. The analytic properties of the divided differences will be used in Chap.  5.


  1. [Bee69]
    Beesack PR (1969) Improvements of Stirling’s formula by elementary methods. Pub Elek Fak Univ Beograda 277:17–21 MathSciNetGoogle Scholar
  2. [MV07]
    Montgomery HL, Vaughan RC (2007) Multiplicative number theory Vol. I. Classical theory. Cambridge studies in advanced mathematics Google Scholar
  3. [Wid46]
    Widder DV (1946) The Laplace transform. Princeton University Press, Princeton Google Scholar

Copyright information

© Springer-Verlag London 2012

Authors and Affiliations

  • Olivier Bordellès
    • 1
  1. 1.AiguilheFrance

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