<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

Pubblicato online: 10 ago 2023

Pagine: 1 - 8

Ricevuto: 13 giu 2022

Accettato: 18 dic 2022

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

Parole chiave
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

Pubblicato online: 10 ago 2023

Pagine: 1 - 8

Ricevuto: 13 giu 2022

Accettato: 18 dic 2022

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

Parole chiavecontinued 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.

Parole chiave
continued fractions, diophantine approximation, consecutive convergents