Geodesic
Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line
Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 502-508.

Voir la notice de l'article provenant de la source Math-Net.Ru

A connection is established between the fractional moments of the Riemann zeta-function and the number of its zeros on the critical line. 
@article{MZM_2002_72_4_a2,
     author = {A. A. Karatsuba},
     title = {Fractional {Moments} and {Zeros} of $\zeta (s)$ on the {Critical} {Line}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {502--508},
     publisher = {mathdoc},
     volume = {72},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a2/}
}
TY  - JOUR
AU  - A. A. Karatsuba
TI  - Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line
JO  - Matematičeskie zametki
PY  - 2002
SP  - 502
EP  - 508
VL  - 72
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a2/
LA  - ru
ID  - MZM_2002_72_4_a2
ER  - 
%0 Journal Article
%A A. A. Karatsuba
%T Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line
%J Matematičeskie zametki
%D 2002
%P 502-508
%V 72
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a2/
%G ru
%F MZM_2002_72_4_a2
A. A. Karatsuba. Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line. Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 502-508. http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a2/

[1] Hardy G. H., Littlewood J. E., “The zeros of Riemann's zeta-functions on the critical line”, Math. Z., 10 (1921), 283–317 | DOI | MR

[2] Selberg A., “On the zeros of Riemann's zeta-function”, Skr. Norske Vid. Akad., 10, Oslo, 1942

[3] Ramachandra K., On the mean-value and omega-theorems for the Riemann zeta-function, Tata Inst. of Fundam. Research, Bombay, 1995 | Zbl

[4] Heath-Brown D. R., “Fractional moments of the Riemann zeta-function”, J. London Math. Soc., 24 (1981), 65–78 | DOI | MR | Zbl

[5] Jutila M., “On the value distribution of the zeta-function on the critical line”, Bull. London Math. Soc., 15 (1983), 513–518 | DOI | MR | Zbl

[6] Karatsuba A. A., “Dzeta-funktsiya Rimana i ee nuli”, UMN, 40:5 (245) (1985), 19–70 | MR | Zbl

[7] Karatsuba A. A., “O nulyakh funktsii Devenkorta–Kheilbronna, lezhaschikh na kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 54:2 (1990), 303–315 | MR | Zbl

[8] Karatsuba A. A., “O nulyakh spetsialnogo vida funktsii, svyazannykh s ryadami Dirikhle”, Izv. AN SSSR. Ser. matem., 55:3 (1991), 483–514

[9] Karatsuba A. A., “O kolichestve nulei dzeta-funktsii Rimana, lezhaschikh na pochti vsekh korotkikh promezhutkakh kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 56:2 (1992), 372–397 | MR

[10] Karatsuba A. A., “Novyi podkhod k probleme nulei nekotorykh ryadov Dirikhle”, Tr. MIAN, 207, Nauka, M., 1994, 180–196 | Zbl