SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP-Reference-Cited by-同舟云学术

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SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP

Published:2010-06 Issue:04 Volume:06 Page:919-956
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

ROY DAMIEN¹

Affiliation:

1. Département de Mathématiques, Université d'Ottawa, 585 King Edward, Ottawa, Ontario K1N 6N5, Canada

Abstract

We generalize Gel'fond's criterion for algebraic independence to the context of a sequence of polynomials whose first derivatives take small values on large subsets of a fixed subgroup of ℂ, instead of just one point (one extension deals with a subgroup of ℂ×).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304211000323X

Reference14 articles.

1. Sequences of Diophantine approximations

2. The algebraic independence of certain numbers related by the exponential function

3. Probability and Mathematical Statistics;Erdös P.,1974

4. Über eine Klasse linearer diophantischer Approximationen

Cited by 3 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. The Four Exponentials Problem and Schanuel’s Conjecture;Lecture Notes in Mathematics;2022-08-03

2. A SMALL VALUE ESTIMATE FOR;Mathematika;2013-02

3. Recent advances in Diophantine approximation;Number Theory, Analysis and Geometry;2011-11-04

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