A problem connected with the zeros of Riemann’s zeta function
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- by P. B. Braun and A. Zulauf
- Proc. Amer. Math. Soc. 36 (1972), 18-20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0306134-7
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Abstract:
Estimates are given for the number of zeros of $\operatorname {Re} \{ {\pi ^{ - s/2}}\Gamma (s/2)\zeta (s)\}$ and $\operatorname {Im} \{ {\pi ^{ - s/2}}\Gamma (s/2)\zeta (s)\}$ with $0 < \operatorname {Im} s < T$, and fixed Re s inside the critical strip.References
- B. Berlowitz, Extensions of a theorem of Hardy, Acta Arith. 14 (1967/68), 203–207. MR 225731, DOI 10.4064/aa-14-2-203-207
- Bruce C. Berndt, On the zeros of the Riemann zeta-function, Proc. Amer. Math. Soc. 22 (1969), 183–188. MR 242777, DOI 10.1090/S0002-9939-1969-0242777-7
- Harold Davenport, Multiplicative number theory, Lectures in Advanced Mathematics, No. 1, Markham Publishing Co., Chicago, Ill., 1967. Lectures given at the University of Michigan, Winter Term, 1966. MR 0217022
- E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford, at the Clarendon Press, 1951. MR 0046485
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 18-20
- MSC: Primary 10H05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0306134-7
- MathSciNet review: 0306134