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Zeros of approximate functional approximations


Author: Robert Spira
Journal: Math. Comp. 21 (1967), 41-48
MSC: Primary 65.50; Secondary 10.00
DOI: https://doi.org/10.1090/S0025-5718-1967-0234629-X
Erratum: Math. Comp. 63 (1994), 829.
Erratum: Math. Comp. 63 (1994), 829.
MathSciNet review: 0234629
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  • [1] Robert Spira,"Approximate functional approximations and the Riemann hypothesis," Proc. Amer. Math. Soc., v. 17, 1966, pp. 314-317. MR 0199163 (33:7312)
  • [2] R. McLeod, "Mean value theorems for vector valued functions," Proc. Edinburgh Math. Soc., v. 14, 1965, pp. 197-209. MR 0185052 (32:2522)
  • [3] Robert Spira, "Zero-free regions of $ {\zeta ^{(k)}}(s)$," J. London Math. Soc. v. 40, 1965, pp. 677-682. MR 31 #5849. MR 0181621 (31:5849)
  • [4] Lowell Schoenfeld & R. D. Dixon, `On the size of the Riemann zeta-function at places symmetric to the point $ \frac{1} {2}$," Duke Math. J. 33 (1966), 291-292.
  • [5] N. G. de Bruijn, Asymptotic Methods in Analysis, North-Holland, Amsterdam; Noordhoff, Groningen; Interscience, New York, 1958. MR 20, #6003. MR 0099564 (20:6003)
  • [6] Robert Spira, "Calculation of the Riemann zeta function," Reviewed in Math. Comp., v. 18, 1964, pp. 519-521.
  • [7] E. C. Titchmarsh, Theory of the Riemann Zeta Function, Oxford, at the Clarendon Press, 1951. MR 13, 741. MR 0046485 (13:741c)
  • [8] Robert Spira, -Zeros of sections of the zeta function. I," Math. Comp., v. 20, 1966, pp. 542-550. MR 0203910 (34:3757)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1967-0234629-X
Article copyright: © Copyright 1967 American Mathematical Society

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