On Karamata’s proof of the Landau–Ingham Tauberian theorem
Michael Müger
Radboud Universiteit Nijmegen, Netherlands
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Abstract
This is a self-contained exposition of (a generalization of) Karamata’s little known elementary proof of the Landau–Ingham Tauberian theorem, a result in real analysis from which the Prime Number theorem follows in a few lines.
Cite this article
Michael Müger, On Karamata’s proof of the Landau–Ingham Tauberian theorem. Enseign. Math. 61 (2015), no. 1/2, pp. 45–69
DOI 10.4171/LEM/61-1/2-3