On a Theorem of Aubry-Thue

Author:

Brauer Alfred,Reynolds R. L.

Abstract

In 1913 L. Aubry [1] proved the following theorem: If a and m are relatively prime, m > 0, and if is not an integer, then it is always possible to find integers x and y not both zero such that

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 16 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. On the Thue–Vinogradov Lemma;Proceedings of the Steklov Institute of Mathematics;2021-09

2. Elementary Estimates for the Least Primitive Root;Studies in Mathematics and Mechanics;2013

3. Small zeros of quadratic forms mod $P^{2}$;Proceedings of the American Mathematical Society;2012-12-01

4. Efficient prediction of Marsaglia-Zaman random number generators;IEEE Transactions on Information Theory;1998-05

5. Small Solutions to Systems of Linear Congruences over Number Fields;Rocky Mountain Journal of Mathematics;1996-09-01

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