Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The (u,v)-Calkin-Wilf Forest   In this paper we consider a refinement, due to Nathanson, of the Calkin-Wilf
tree. In particular, we study the properties of such trees associated with the
matrices $L_u=\begin{bmatrix} 1 & 0 \\ u & 1\end{bmatrix}$ and
$R_v=\begin{bmatrix} 1 & v \\ 0& 1\end{bmatrix}$, where $u$ and $v$ are
nonnegative integers. We extend several known results of the original
Calkin-Wilf tree, including the symmetry, numerator-denominator, and successor
formulas, to this new setting. Additionally, we study the ancestry of a
rational number appearing in a generalized Calkin-Wilf tree.

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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys