科研之友
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摘要
A seminal result due to Wall states that if x is normal to a given base b, then so is rx + s for any rational numbers r, s with r not equal 0. We show that a stronger result is true for normality with respect to the continued fraction expansion. In particular, suppose a, b, c, d is an element of Z with ad - bc not equal 0. Then if x is continued fraction normal, so is (ax + b)/(cx + d).
- 出版日期2017-2
