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Note on the trivial zeros of Dirichlet $ L$-functions


Author: Tom M. Apostol
Journal: Proc. Amer. Math. Soc. 94 (1985), 29-30
MSC: Primary 11M20
DOI: https://doi.org/10.1090/S0002-9939-1985-0781049-8
MathSciNet review: 781049
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Abstract: The trivial zeros of Dirichlet $ L$-functions are located without use of the functional equation.


References [Enhancements On Off] (What's this?)

  • [1] Tom M. Apostol, Introduction to analytic number theory, Springer-Verlag, New York-Heidelberg, 1976. Undergraduate Texts in Mathematics. MR 0434929
  • [2] Karl Prachar, Primzahlverteilung, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). MR 0087685

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0781049-8
Keywords: Dirichlet $ L$-function, trivial zeros
Article copyright: © Copyright 1985 American Mathematical Society