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math.NT2010★ 3 cited
Diophantine approximation on Veech surfaces
Pascal Hubert, Thomas A. Schmidt
We show that Y. Cheung's general -continued fractions can be adapted to give approximation by saddle connection vectors for any compact translation surface. That is, we show the…
math.NT2010★ 3 cited
Transcendence with Rosen continued fractions
Yann Bugeaud, Pascal Hubert, Thomas A. Schmidt
We give the first transcendence results for the Rosen continued fractions. Introduced over half a century ago, these fractions expand real numbers in terms of certain algebraic num…