"자렘바의 추측"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
Pythagoras0 (토론 | 기여) (→메모) |
Pythagoras0 (토론 | 기여) (→메모) |
||
| 1번째 줄: | 1번째 줄: | ||
==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 = [ | + | 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== | ==관련논문== | ||
2015년 11월 28일 (토) 03:24 판
메모
Zaremba's conjecture (1971) states that every positive integer number d can be represented as a denominator of a finite continued fraction $b/d = [d_1,d_2,...,d_k]$, 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.