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

Author:
J. B. Conrey

Journal:
Bull. Amer. Math. Soc. **20** (1989), 79-81

MSC (1985):
Primary 11M26; Secondary 11F37

DOI:
https://doi.org/10.1090/S0273-0979-1989-15704-2

MathSciNet review:
959210

Full-text PDF

References | Similar Articles | Additional Information

**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**

Retrieve articles in *Bulletin of the American Mathematical Society*
with MSC (1985):
11M26,
11F37

Retrieve articles in all journals with MSC (1985): 11M26, 11F37

Additional Information

DOI:
https://doi.org/10.1090/S0273-0979-1989-15704-2