At least two fifths of the zeros of the Riemann zeta function are on the critical line

Conrey, J. B.

doi:10.1090/S0273-0979-1989-15704-2

At least two fifths of the zeros of the Riemann zeta function are on the critical line
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Bull. Amer. Math. Soc. 20 (1989), 79-81

References

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. Reine Angew. Math. 357 (1985), 161–181. MR 783539
Brian Conrey, Zeros of derivatives of Riemann’s $\xi$-function on the critical line, J. Number Theory 16 (1983), no. 1, 49–74. MR 693393, DOI 10.1016/0022-314X(83)90031-8
J. B. Conrey, More than two fifths of the zeros of the Riemann zeta function are on the critical line, J. Reine Angew. Math. 399 (1989), 1–26. MR 1004130, DOI 10.1515/crll.1989.399.1
J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982/83), no. 2, 219–288. MR 684172, DOI 10.1007/BF01390728
D. R. Heath-Brown, Simple zeros of the Riemann zeta function on the critical line, Bull. London Math. Soc. 11 (1979), no. 1, 17–18. MR 535789, DOI 10.1112/blms/11.1.17
M. Jutila, Zeros of the zeta-function near the critical line, Studies in pure mathematics, Birkhäuser, Basel, 1983, pp. 385–394. MR 820237
Norman Levinson, More than one third of zeros of Riemann’s zeta-function are on $\sigma =1/2$, Advances in Math. 13 (1974), 383–436. MR 564081, DOI 10.1016/0001-8708(74)90074-7
Atle Selberg, On the zeros of Riemann’s zeta-function, Skr. Norske Vid.-Akad. Oslo I 1942 (1942), no. 10, 59. MR 10712
E. C. Titchmarsh, The theory of the Riemann zeta-function, 2nd ed., The Clarendon Press, Oxford University Press, New York, 1986. Edited and with a preface by D. R. Heath-Brown. MR 882550