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Pythagoras0 (토론 | 기여) (새 문서: ==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,...) |
Pythagoras0 (토론 | 기여) |
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| + | Zaremba's conjecture (1971) states that every positive integer number d can be represented as a denominator of a finite continued fraction <math>b/d = [d_1,d_2,...,d_k]</math>, with all partial quotients <math>d_1,d_2,\cdots,d_k</math> being bounded by an absolute constant <math>A</math>. | ||
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==관련논문== | ==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. | * 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. | ||
2020년 11월 16일 (월) 04:22 기준 최신판
메모
Zaremba's conjecture (1971) states that every positive integer number d can be represented as a denominator of a finite continued fraction \(b/d = [d_1,d_2,...,d_k]\), with all partial quotients \(d_1,d_2,\cdots,d_k\) 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.