Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Zeros of Hurwitz zeta functions
HTML articles powered by AMS MathViewer

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
    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.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 10H10
  • Retrieve articles in all journals with MSC: 10H10
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