Nesterenko’s criterion when the small linear forms oscillate-Reference-Cited by-同舟云学术

Nesterenko’s criterion when the small linear forms oscillate

Published:2012-02 Issue:2 Volume:98 Page:143-151
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Fischler Stéphane

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00013-011-0354-y.pdf

Reference19 articles.

1. Adamczewski, Sur l’exposant de densité des nombres algébriques, International Math. Research Notices, article ID 024, (2007) 6 pages.

2. R. Apéry, Irrationalité de ζ(2) et ζ(3), Journées Arithmétiques (Luminy, 1978), 61 in Astérisque, (1979), 11–13.

3. Ball K., Rivoal T.: Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs. Invent. Math. 146, 193–207 (2001)

4. E. Bedulev, On the linear independence of numbers over number fields, Mat. Zametki [Math. Notes] 64, (1998), 506–517 [440–449].

5. N. Fel’dman and Y. Nesterenko, Number Theory IV, Transcendental Numbers, Encyclopaedia of Mathematical Sciences 44, Springer, 1998, A.N. Parshin and I.R. Shafarevich, eds.

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