The generalization of Jarník’s identity
Volume 175 / 2016
Acta Arithmetica 175 (2016), 119-136
MSC: 11H06, 11J13.
DOI: 10.4064/aa8316-5-2016
Published online: 15 September 2016
Abstract
We will give a new proof, using the Parametric Geometry of Numbers, for remarkable inequalities of O. German which generalize the classical Jarník identity on simultaneous approximation. We will also show that these inequalities are best possible.
