Abstract
Suppose that α 1,...,α n are n real numbers and that Q > 1 is an integer. Then there exist integers q,p1,...,Pn with
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
L.G.P. Dirichlet (1842). Verallgemeinerung eines Satzes aus der Lehre von den Kettenbrüchen nebst einigen Anwendungen auf die Theorie der Zahlen. S. B. Preuss. Akad. Wiss. 93–95.
H. Minkowski (1896 & 1910). Geometrie der Zahlen. Teubner: Leipzig u. Berlin (The 1910 ed. prepared posthumously by Hilbert and Speiser).
O. Perron (1921b). Über diophantische Approximationen. Math. Ann. 83, 77–84.
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(1980). Simultaneous Approximation. In: Diophantine Approximation. Lecture Notes in Mathematics, vol 785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38645-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-38645-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09762-4
Online ISBN: 978-3-540-38645-2
eBook Packages: Springer Book Archive
