A canonical form for planar Farey sets
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- by Norman Richert PDF
- Proc. Amer. Math. Soc. 83 (1981), 259-262 Request permission
Abstract:
Asmus Schmidt has developed a new algorithm for generating Gaussian rational approximations to complex irrational numbers. The method is based on the structure of a certain collection of planar sets. Schmidt suggested an inductive proof for the structure theorem without publishing the details. The present paper presents a proof, which is not inductive in character.References
- Lester R. Ford, Rational approximations to irrational complex numbers, Trans. Amer. Math. Soc. 19 (1918), no. 1, 1–42. MR 1501085, DOI 10.1090/S0002-9947-1918-1501085-6 Norman Richert, Diophantine approximation of complex numbers, unpublished thesis, Claremont Graduate School, 1980.
- Asmus L. Schmidt, Diophantine approximation of complex numbers, Acta Math. 134 (1975), 1–85. MR 422168, DOI 10.1007/BF02392098
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 259-262
- MSC: Primary 10F35
- DOI: https://doi.org/10.1090/S0002-9939-1981-0624910-3
- MathSciNet review: 624910