On applications of diophantine approximations.

Abstract:

:This paper is devoted to the study of the arithmetic properties of values of G-functions introduced by Siegel [Siegel, C. L. (1929) Abh. Preuss. Akad. Wiss. Phys.-Math. Kl. 1]. One of the main results is a theorem on the linear independence of values of G-functions at rational points close to the origin. In this theorem, no conditions are imposed on the p-adic convergence of a G-function at a generic point. The theorem finally realizes Siegel's program on G-function values outlined in his paper.

authors

Chudnovsky GV

doi

10.1073/pnas.81.22.7261

subject

Has Abstract

pub_date

1984-11-01 00:00:00

pages

7261-5

issue

22

eissn

0027-8424

issn

1091-6490

journal_volume

81

pub_type

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