Zeros of Hurwitz zeta functions
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- by Robert Spira PDF
- Math. Comp. 30 (1976), 863-866 Request permission
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
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B. BERNDT, "The number of zeros for ${\zeta ^{(k)}}(s)$," J. London Math. Soc. (2), v. 2, 1970, pp. 577-580. MR 42 # 1776.
H. DAVENPORT & H. HEILBRONN, "On the zeros of certain Dirichlet series," J. London Math. Soc., v. 11, 1936, pp. 181-185.
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.
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Math. Comp. 30 (1976), 863-866
- MSC: Primary 10H10
- DOI: https://doi.org/10.1090/S0025-5718-1976-0409382-2
- MathSciNet review: 0409382