On the non-vanishing of certain Dirichlet series

  • Aurel Wintner


Meromorphic Function Simple Pole Dirichlet Series Arithmetical Progression Multiplicative Function 
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  1. 1.
    E. Hecke,Vorlesungen über die Theorie der algebraischen Zahlen, Leipzig, 1923.Google Scholar
  2. 2.
    A. E. Ingham, «Note on Riemann's zeta-function and Dirichlet's L-functions,»Journal of the London Mathematical Society, vol. 5 (1930), pp. 107–112.CrossRefGoogle Scholar
  3. 3.
    E. Landau, «Über einen Satz von Tschebyschef,»Mathematische Annalen, vol. 61 (1905), pp. 527–550.CrossRefGoogle Scholar
  4. 4.
    A. Wintner, «The fundamental lemma in Dirichlet's theory of the arithmetical progressions,»American Journal of Mathematics, vol. 68 (1946), pp. 285–292.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 1952

Authors and Affiliations

  • Aurel Wintner
    • 1
  1. 1.The Johns Hopkins UniversityBaltimore

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