Abstract
AbstractWe study Lagrange spectra arising from intrinsic Diophantine approximation of circles and spheres. More precisely, we consider three circles embedded in or and three spheres embedded in or . We present a unified framework to connect the Lagrange spectra of these six spaces with the spectra of and . Thanks to prior work of Asmus L. Schmidt on the spectra of and , we obtain as a corollary, for each of the six spectra, the smallest accumulation point and the initial discrete part leading up to it completely.
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