<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

Online veröffentlicht: 10. Aug. 2023

Seitenbereich: 1 - 8

Eingereicht: 13. Juni 2022

Akzeptiert: 18. Dez. 2022

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

Schlüsselwörter
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

Online veröffentlicht: 10. Aug. 2023

Seitenbereich: 1 - 8

Eingereicht: 13. Juni 2022

Akzeptiert: 18. Dez. 2022

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

Schlüsselwörtercontinued 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.

Schlüsselwörter
continued fractions, diophantine approximation, consecutive convergents