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The zeros of Hurwitz's zeta-function on σ=1/2

Part of the Lecture Notes in Mathematics book series (LNM,volume 899)

Keywords

  • Dirichlet Series
  • Simple Zero
  • Common Zero
  • Riemann Hypothesis
  • Dirichlet Character

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References

  1. J.W.S. Cassels, Footnote to a note of Davenport and Heilbronn, J. London Math. Soc. 36 (1961), 177–184.

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  2. H. Davenport, The collected works of Harold Davenport, vol. 4, Academic Press, New York, 1977.

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  3. H. Davenport and H. Heilbronn, On the zeros of certain Dirichlet series, I. J. London Math. Soc. 11 (1936), 181–185.

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  4. A. Fujii, On the zeros of Dirichlet L-functions (V), Acta Arith. 28 (1976), 395–403.

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  5. S.M. Gonek, Analytic properties of zeta and L-functions, Thesis, University of Michigan, 1979.

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  6. A.E. Ingham, The distribution of prime numbers, Cambridge University Press, London, 1932.

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  7. N. Levinson, More than one-third of the zeros of Riemann's zeta-function are on σ=1/2, Advances in Math. 13 (1974), 383–436.

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  8. S.M. Voronin, On the zeros of zeta-functions of quadratic forms, Trudy Mat. Inst. Steklov 142 (1976), 135–147. See also: Proc. Steklov Inst. Math. 3 (1979), 143–155.

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Dedicated to Professor Emil Grosswald

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© 1981 Springer-Verlag

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Gonek, S.M. (1981). The zeros of Hurwitz's zeta-function on σ=1/2. In: Knopp, M.I. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096456

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  • DOI: https://doi.org/10.1007/BFb0096456

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11173-3

  • Online ISBN: 978-3-540-38953-8

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