This article is cited in 5 papers

An analogue of Vahlen's theorem for simultaneous approximations of a pair of numbers

M. O. Avdeeva, V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: The properties of simultaneous Diophantine approximations for two real numbers are studied.

UDC: 511.334+515.178

MSC: Primary 11J13; Secondary 11J70, 11H06

Received: 17.06.2002

DOI: 10.4213/sm749

 English version: Sbornik: Mathematics, 2003, 194:7, 955–967

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