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An extension of Landau’s theorem in the analytical theory of numbers. (English) Zbl 0001.12902

Verf. will einen “Tauber”-Satz fur Dirichletsche Reihen beweisen, der bekannte Sätze von Landau und Hrady-Littlewood als Spezialfall enthält. Die Arbeit enthält nicht nur zahlreiche Druckfehler, sondern auch mathematische Fehler, gliedweise Integration divergenter Reihen und ähnliches. Ein näheres Eingehen auf den Inhalt erübrigt sich daher.

[Also reviewed in JFM 57.0212.01.]

11M45Tauberian theorems
11N05Distribution of primes
11M06ζ(s) and L(s,χ)