<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

Publicado en línea: 10 ago 2023

Páginas: 1 - 8

Recibido: 13 jun 2022

Aceptado: 18 dic 2022

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

Palabras clave
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

Publicado en línea: 10 ago 2023

Páginas: 1 - 8

Recibido: 13 jun 2022

Aceptado: 18 dic 2022

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

Palabras clavecontinued 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.

Palabras clave
continued fractions, diophantine approximation, consecutive convergents