A note on quadratic approximation for Liouville numbers

2018/08/27 by Ooto, Tomohiro
#11J70 #11J82 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1808.08835

Abstract

Schleischitz [arXiv:1701.01129] determined exponents of best approximations to a strong Liouville number by integer polynomials and algebraic numbers of precribed degree. In this note, we show that we cannot extend his result to arbitrary Liouville numbers.

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