Article
Refinement of the Theorem of Vahlen
Authors
Abstract
In 1895, Vahlen proved a theorem concerning a simultaneous ap- proximation of a real number by its two consecutive convergent. In this paper, we will provide a sharper bound for the theorem.
Keywords
continued fractions, diophantine approximation, consecutive convergents.
Citation
Bhattarai, D. S. (2023). Refinement of the theorem of vahlen. Uniform Distribution Theory, 18(1), 1–8. https://doi.org/10.2478/udt-2023-0001
D. S. Bhattarai, “Refinement of the theorem of vahlen,” Uniform Distribution Theory, vol. 18, no. 1, pp. 1–8, 2023, doi: 10.2478/udt-2023-0001.
Bhattarai DS. Refinement of the theorem of vahlen. Uniform Distribution Theory. 2023;18(1):1–8. doi:10.2478/udt-2023-0001.
Bhattarai, D. S. (2023), ‘Refinement of the theorem of vahlen’, Uniform Distribution Theory, 18(1), pp. 1–8. Available at: https://doi.org/10.2478/udt-2023-0001.
Bhattarai, Dinesh Sharma. “Refinement of the Theorem of Vahlen.” Uniform Distribution Theory, vol. 18, no. 1, 2023, pp. 1–8. https://doi.org/10.2478/udt-2023-0001.
Bhattarai, Dinesh Sharma. “Refinement of the Theorem of Vahlen.” Uniform Distribution Theory 18, no. 1 (2023): 1–8. https://doi.org/10.2478/udt-2023-0001.
Export citation
Published by: Engineering Journals
