Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recurrence Relations and Determinants   We examine relationships between two minors of order n of some matrices of n
rows and n+r columns. This is done through a class of determinants, here called
$n$-determinants, the investigation of which is our objective. We prove that
1-determinants are the upper Hessenberg determinants. In particular, we state
several 1-determinants each of which equals a Fibonacci number. We also derive
relationships among terms of sequences defined by the same recurrence equation
independently of the initial conditions. A result generalizing the formula for
the product of two determinants is obtained. Finally, we prove that the Schur
functions may be expressed as $n$-determinants.

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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: comp-gas