Zeros of Hurwitz zeta functions

Author:
Robert Spira

Journal:
Math. Comp. **30** (1976), 863-866

MSC:
Primary 10H10

DOI:
https://doi.org/10.1090/S0025-5718-1976-0409382-2

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.

**[1]**B. BERNDT, "The number of zeros for ,"*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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DOI:
https://doi.org/10.1090/S0025-5718-1976-0409382-2

Article copyright:
© Copyright 1976
American Mathematical Society