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==메모== | ==메모== | ||
| − | Zaremba's conjecture (1971) states that every positive integer number d can be represented as a denominator of a finite continued fraction $b/d = [d1,d2,...,dk]$, with all partial quotients $d1,d2,\ | + | Zaremba's conjecture (1971) states that every positive integer number d can be represented as a denominator of a finite continued fraction $b/d = [d1,d2,...,dk]$, with all partial quotients $d1,d2,\cdots,dk$ being bounded by an absolute constant $A$. |
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==관련논문== | ==관련논문== | ||
2015년 11월 28일 (토) 03:17 판
메모
Zaremba's conjecture (1971) states that every positive integer number d can be represented as a denominator of a finite continued fraction $b/d = [d1,d2,...,dk]$, with all partial quotients $d1,d2,\cdots,dk$ being bounded by an absolute constant $A$.
관련논문
- Kan, I. D. ‘A Strengthening of a Theorem of Bourgain-Kontorovich-IV’. arXiv:1503.06132 [math], 20 March 2015. http://arxiv.org/abs/1503.06132.
- Bourgain, Jean, and Alex Kontorovich. ‘On Zaremba’s Conjecture’. Annals of Mathematics 180, no. 1 (1 July 2014): 137–96. doi:10.4007/annals.2014.180.1.3. http://arxiv.org/abs/1103.0422.