<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In 1895, Vahlen proved a theorem concerning a simultaneous approximation of a real number by its two consecutive convergent. In this paper, we will provide a sharper bound for the theorem.</p>
</abstract>

In 1895, Vahlen proved a theorem concerning a simultaneous approximation of a real number by its two consecutive convergent. In this paper, we will provide a sharper bound for the theorem.

Refinement of the Theorem of Vahlen

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Refinement of the Theorem of Vahlen"}

In 1895, Vahlen proved a theorem concerning a simultaneous approximation of a real number by its two consecutive convergent. In this paper, we will provide a...

Refinement of the Theorem of Vahlen

Publié en ligne: 10 août 2023

Pages: 1 - 8

Reçu: 13 juin 2022

Accepté: 18 déc. 2022

DOI: https://doi.org/10.2478/udt-2023-0001

Mots clés
continued fractions, diophantine approximation, consecutive convergents

© 2023 Dinesh Sharma Bhattarai, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Refinement of the Theorem of Vahlen

Publié en ligne: 10 août 2023

Pages: 1 - 8

Reçu: 13 juin 2022

Accepté: 18 déc. 2022

DOI: https://doi.org/10.2478/udt-2023-0001

Mots cléscontinued fractions, diophantine approximation, consecutive convergents

© 2023 Dinesh Sharma Bhattarai, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
continued fractions, diophantine approximation, consecutive convergents