Newman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theory

Jan-Christoph Schlage-Puchta, Christoph Schwerdt

We give a generalized and effective version of Bekehermes' improvement of Newman's Tauberian theorem. To do so we prove an effective version of the Riemann-Lebesgue Lemma for funct…