On the linear independence of numbers over number fields-Reference-Cited by-同舟云学术

On the linear independence of numbers over number fields

Published:1998-10 Issue:4 Volume:64 Page:440-449
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Bedulev E. V.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02314624.pdf

Reference9 articles.

1. G. V. Chudnovskii [G. V. Choodnovsky],Certain analytic methods in the theory of transcendental numbers [in Russian], Preprint IM-74-8,Analytic methods in Diophantine approximations [in Russian], Preprint IM-74-9, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev (1974).

2. E. Ressat, “Un critère d'indépendance algébrique,”J. Reine Angew. Math.,329, 66–81 (1981).

3. M. Waldschmidt and Zhu Yao Chen, “Une généralisation en plusieures variables d'un critère de transcendance de Gelfond,”C. R. Acad. Sci. Paris. Sér. I. Math.,297, 229–232 (1983).

4. Yu. V. Nesterenko, “A sufficient condition for algebraic independence of numbers,”Vestnik Moskov. Univ. Ser. I Mat. Mekh. [Moscow Univ. Math. Bull.], No. 4, 63–68 (1983).

5. P. Phillipon, “Critères pour l'indépendance algébrique de familles de nombres,”C R. Math. Rep. Acad. Sci. Canada,6, 285–290 (1984).

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lindemann–Weierstrass Theorem;Moscow University Mathematics Bulletin;2021-12

2. Vectors of type II Hermite–Padé approximations and a new linear independence criterion;Annali di Matematica Pura ed Applicata (1923 -);2021-04-29

3. Linear independence of values of $G$-functions;Journal of the European Mathematical Society;2020-02-03

4. Nesterenko’s criterion when the small linear forms oscillate;Archiv der Mathematik;2012-02

5. On a criterion of linear independence of p-adic numbers;Manuscripta Mathematica;2011-12-20