Dyadic fractions with small partial quotients
- Cite this article as:
- Niederreiter, H. Monatshefte für Mathematik (1986) 101: 309. doi:10.1007/BF01559394
It is proved that ifm is a power of 2, then there exists an odd integera with 1≤a<m such that all partial quotients in the continued fraction expansion ofa/m are bounded by 3. The upper bound 3 is best possible. Similar results can be shown for powers of other small numbers.