Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nair's and Farhi's identities involving the least common multiple of
  binomial coefficients are equivalent   In 1982, Nair proved the identity: ${\rm lcm}({k \choose 1}, 2{k \choose 2},
>..., k{k \choose k}) ={\rm lcm}(1, 2, ..., k), \forall k\in \mathbb{N}.$
Recently, Farhi proved a new identity: ${\rm lcm}({k \choose 0}, {k \choose 1},
>..., {k \choose k}) =\frac{{\rm lcm}(1, 2, ..., k+1)}{k+1}, \forall k\in
\mathbb{N}.$ In this note, we show that Nair's and Farhi's identities are
equivalent.

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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph