JournalslemVol. 61, No. 1/2pp. 45–69

On Karamata’s proof of the Landau–Ingham Tauberian theorem

  • Michael Müger

    Radboud Universiteit Nijmegen, Netherlands
On Karamata’s proof of the Landau–Ingham Tauberian theorem cover
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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