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At least two fifths of the zeros of the Riemann zeta function are on the critical line
Author(s):
J. B.
Conrey
Journal:
Bull. Amer. Math. Soc.
20
(1989),
79-81.
MSC (1985):
Primary 11M26;
Secondary 11F37
MathSciNet review:
959210
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References |
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Additional information
References:
- 1.
- R. Balasubramanian, J. B. Conrey, and D. R. Heath-Brown, Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial, J. Riene Angew. Math. 357 (1985), 161-181. MR 783539
- 2.
- J. B. Conrey, Zeros of derivatives of Riemann's xi-function on the critical line, J. Number Theory 16 (1983), 49-74. MR 693393
- 3.
- J. B. Conrey, More than two-fifths of the zeros of Riemann's zeta-function are on the critical line, preprint. MR 1004130
- 4.
- J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288. MR 684172
- 5.
- D. R. Heath-Brown, Simple zeros of the Riemann zeta-function on the critical line, Bull. London Math. Soc. 11 (1979), 17-18. MR 535789
- 6.
- M. Jutila, Zeros of the zeta-function near the critical line, Studies in Pure Mathematics, to the memory of Paul Turan, pp. 385-394 (Birkhäuser, Basel-Stuttgart, 1982). MR 820237
- 7.
- N. Levinson, More than one-third of the zeros of Riemann's zeta-function are on σ = 1/2, Adv. Math. 13 (1974), 383-436. MR 564081
- 8.
- A. Selberg, On the zeros of Riemann's zeta-function, Skr. Norskevid. Akad. Oslo 10 (1942), 1-59. MR 10712
- 9.
- E. C. Titchmarsh, The theory of the Riemann zeta-function, (2nd ed.) Clarendon Press, Oxford, 1986. MR 882550
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15704-2
PII:
S 0273-0979(1989)15704-2
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