Geodesic
On the Horizontal Distribution of Zeros of the Functions~$\operatorname{Re} \zeta(s)$ and~$\operatorname{Im}\zeta(s)$
Matematičeskie zametki, Tome 98 (2015) no. 6, pp. 941-943.

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

Keywords: Riemann zeta function, distribution of zeros, Riemann hypothesis. 
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M. A. Korolev. On the Horizontal Distribution of Zeros of the Functions~$\operatorname{Re} \zeta(s)$ and~$\operatorname{Im}\zeta(s)$. Matematičeskie zametki, Tome 98 (2015) no. 6, pp. 941-943. http://geodesic.mathdoc.fr/item/MZM_2015_98_6_a14/

[1] M. Z. Garaev, Acta Arith., 108:3 (2003), 245–251 | DOI | MR | Zbl

[2] Ya. Mozer, Acta Arith., 34:1 (1977), 25–35 | MR | Zbl

[3] J. van de Lune, Some Observations Concerning the Zero-Curves of the Real and Imaginary Part of Riemann's Zeta Function, Afd. Zuiv. Wisk. ZW 201/83, Mathematical centrum, Amsterdam, 1983 | MR | Zbl

[4] A. A. Karatsuba, M. A. Korolev, UMN, 60:3 (2005), 41–96 | DOI | MR | Zbl

[5] R. J. Backlund, Acta Math., 41:1 (1916), 345–375 | DOI | MR

[6] A. A. Karatsuba, M. A. Korolev, UMN, 61:3 (2006), 3–92 | DOI | MR | Zbl

[7] M. A. Korolev, Izv. RAN. Ser. matem., 69:1 (2005), 115–124 | DOI | MR | Zbl

[8] R. N. Boyarinov, Matem. zametki, 89:4 (2011), 495–502 | DOI | MR | Zbl

[9] M. A. Korolev, Upper and Lower Bounds for the Function $S(t)$ on the Short Intervals, 2013, arXiv: 1302.0352

[10] M. A. Korolev, On the Large Values of the Riemann Zeta-Function on the Critical Line – II, 2014, arXiv: 1412.6340

[11] M. A. Korolev, Acta Arith., 166:4 (2014), 349–390 | DOI | MR | Zbl