Yet Another Representation for Reciprocals of the Nontrivial Zeros of the Riemann Zeta Function
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 471-474.

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

Keywords: Riemann zeta function, Riemann hypothesis
Mots-clés : Stieltjes constants, Euler constant.
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Yu. V. Matiyasevich. Yet Another Representation for Reciprocals of the Nontrivial Zeros of the Riemann Zeta Function. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 471-474. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a14/

[1] X.-J. Li, J. Number Theory, 65:2 (1997), 325–333 | DOI | MR | Zbl

[2] E. Bombieri, J. C. Lagarias, J. Number Theory, 77:2 (1999), 274–287 | DOI | MR | Zbl

[3] Yu. V. Matiyasevich, Mezhdunarodnaya konferentsiya po analiticheskim metodam v teorii chisel i analize (Moskva, 14–19 sentyabrya 1981 g.), Tr. MIAN SSSR, 163, 1984, 181–182 | MR | Zbl

[4] M. W. Coffey, J. Number Theory, 130:9 (2010), 2049–2064, arXiv: 0912.2391 | DOI | MR | Zbl

[5] Yu. V. Matiyasevich, Matem. zametki, 45:2 (1989), 65–70 | MR | Zbl

[6] J. Sondow, Amer. Math. Monthly, 112:1 (2005), 61–65 | DOI | MR | Zbl

[7] J. Sondow, Additive Number Theory, Springer, New York, 2010, 331–340, arXiv: math/0508042 | MR | Zbl

[8] G. Vacca, Quart. J. Pure Appl. Math., 41 (1910), 363–366 | Zbl

[9] G. H. Hardy, Quart. J. Pure Appl. Math., 43 (1912), 215–216 | Zbl

[10] A. W. Addison, Amer. Math. Monthly, 74:7 (1967), 823–824 | DOI | MR | Zbl

[11] K. H. Pilehrood, T. H. Pilehrood, J. Integer Seq., 13:7 (2010), Article 10.7.3 https://cs.uwaterloo.ca/journals/JIS/VOL13/Pilehrood/pilehrood2.pdf | MR | Zbl