<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

Data publikacji: 10 sie 2023

Zakres stron: 1 - 8

Otrzymano: 13 cze 2022

Przyjęty: 18 gru 2022

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

Słowa kluczowe
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

Data publikacji: 10 sie 2023

Zakres stron: 1 - 8

Otrzymano: 13 cze 2022

Przyjęty: 18 gru 2022

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

Słowa kluczowecontinued 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.

Słowa kluczowe
continued fractions, diophantine approximation, consecutive convergents