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Mathematics of Computation

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Zeros of Hurwitz zeta functions

Author: Robert Spira
Journal: Math. Comp. 30 (1976), 863-866
MSC: Primary 10H10
MathSciNet review: 0409382
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Abstract: All complex zeros of each Hurwitz zeta function are shown to lie in a vertical strip. Trivial real zeros analogous to those for the Riemann zeta function are found. Zeros of two particular Hurwitz zeta functions are calculated.

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

  • [1] B. BERNDT, "The number of zeros for $ {\zeta ^{(k)}}(s)$," J. London Math. Soc. (2), v. 2, 1970, pp. 577-580. MR 42 # 1776.
  • [2] H. DAVENPORT & H. HEILBRONN, "On the zeros of certain Dirichlet series," J. London Math. Soc., v. 11, 1936, pp. 181-185.
  • [3] J. W. S. CASSELS, "Footnote to a note of Davenport and Heilbronn," J. London Math. Soc., v. 36, 1961, pp. 177-184. MR 26 # 3881.

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Article copyright: © Copyright 1976 American Mathematical Society

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