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- W4298503822 abstract "In this paper we discuss a natural generalization of the Stern Brocot tree which comes from the introduction of weighted mediants. We focus our attention on the case $k = 3$, in which $(2a + c)/(2b + d)$ and $(a + 2c)/(b + 2d)$ are the two mediants inserted between $a/b$ and $c/d$. Our main result is a determination of which rational numbers between the starting terms appear in the tree. We extend this result to arbitrary reduction schemes as well." @default.
- W4298503822 created "2022-10-02" @default.
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- W4298503822 date "2015-02-02" @default.
- W4298503822 modified "2023-09-26" @default.
- W4298503822 title "Stern-Brocot Trees from Weighted Mediants" @default.
- W4298503822 doi "https://doi.org/10.48550/arxiv.1502.00682" @default.
- W4298503822 hasPublicationYear "2015" @default.
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