Continued Fractions with Partial Quotients Bounded in Average
数论
2007-05-23 v2 组合数学
摘要
We ask, for which does there exists a , and , so that has a continued fraction whose partial quotients are bounded in average by a constant ? This question is intimately connected with several other well-known problems, and we provide a lower bound in the case of B=2.
引用
@article{arxiv.math/0310383,
title = {Continued Fractions with Partial Quotients Bounded in Average},
author = {Joshua N. Cooper},
journal= {arXiv preprint arXiv:math/0310383},
year = {2007}
}
备注
7 pages, 0 figures; minor changes, to appear in Fibonacci Quarterly