On two notions of complexity of algebraic numbers

Details On two notions of complexity of algebraic numbers On two notions of complexity of algebraic numbers

2007-09-11

arxiv.org/abs/0709.1560v1

Mathematics

Number Theory

31 pages

Scientific paper

we derive new, improved lower bounds for the block complexity of an
irrational algebraic number and for the number of digit changes in the b-ary
expansion of an irrational algebraic number. To this end, we apply a
quantitative version of the Subspace Theorem due to Evertse and Schlickewei
(2002).

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