Abstract
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.
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References
Beesack PR (1969) Improvements of Stirling’s formula by elementary methods. Pub Elek Fak Univ Beograda 277:17–21
Montgomery HL, Vaughan RC (2007) Multiplicative number theory Vol. I. Classical theory. Cambridge studies in advanced mathematics
Widder DV (1946) The Laplace transform. Princeton University Press, Princeton
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© 2012 Springer-Verlag London
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Bordellès, O. (2012). Basic Tools. In: Arithmetic Tales. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-4096-2_1
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DOI: https://doi.org/10.1007/978-1-4471-4096-2_1
Publisher Name: Springer, London
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