Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Biharmonic mean   We briefly describe some well-known means and their properties, focusing on
the relationship with integer sequences. In particular, the harmonic numbers,
deriving from the harmonic mean, motivate the definition of a new kind of mean
that we call the biharmonic mean. The biharmonic mean allows to introduce the
biharmonic numbers, providing a new characterization for primes. Moreover, we
highlight some interesting divisibility properties and we characterize the
semi--prime biharmonic numbers showing their relationship with linear recurrent
sequences that solve certain Diophantine equations.

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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con