Metrical Theory of Continued Fractions

By M. Iosifescu, Cor Kraaikamp. 2002

151 citations recorded by the source corpus.

Subfields: Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c7528e25973bdadafcac48ce380e72327fae9b92

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In Mathematical Physics

1. Nick Wadleigh
2. Mumtaz Hussain
3. Dmitry Kleinbock
4. Bao-Wei Wang
5. Yann Bugeaud
6. Victor Beresnevich
7. Barak Weiss
8. Lior Fishman

Citations in the corpus

• Hausdorff measure of sets of Dirichlet non-improvable numbers (2017, background): “[0,1) whose continued fraction expansions begin with (a1,...,an). We will frequently use the following well known properties of continued fraction expansions. They are explained in the standard texts [6, 8, 9]. Proposition 2.2. For any positive integers a1,...,an, let pn = pn(a1,...,an) and qn = qn(”