|
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
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. Reine Angew.
Math. 357 (1985), 161–181. MR 783539
(87f:11061)
- 2.
Brian
Conrey, Zeros of derivatives of Riemann’s 𝜉-function
on the critical line, J. Number Theory 16 (1983),
no. 1, 49–74. MR 693393
(84g:10070), http://dx.doi.org/10.1016/0022-314X(83)90031-8
- 3.
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
(90g:11120), http://dx.doi.org/10.1515/crll.1989.399.1
- 4.
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 (84m:10015), http://dx.doi.org/10.1007/BF01390728
- 5.
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
(81f:10051), http://dx.doi.org/10.1112/blms/11.1.17
- 6.
M.
Jutila, Zeros of the zeta-function near the critical line,
Studies in pure mathematics, Birkhäuser, Basel, 1983,
pp. 385–394. MR 820237
(87a:11079)
- 7.
Norman
Levinson, More than one third of zeros of Riemann’s
zeta-function are on 𝜎=1/2, Advances in Math.
13 (1974), 383–436. MR 0564081
(58 #27837)
- 8.
Atle
Selberg, On the zeros of Riemann’s zeta-function, Skr.
Norske Vid. Akad. Oslo I. 1942 (1942), no. 10, 59. MR 0010712
(6,58a)
- 9.
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
(88c:11049)
- 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
Similar Articles
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:
http://dx.doi.org/10.1090/S0273-0979-1989-15704-2
PII:
S 0273-0979(1989)15704-2
|
