Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples   The symmetric numerical semigroups S(F_a,F_b,F_c) and S(L_k,L_m,L_n)
generated by three Fibonacci (F_a,F_b,F_c) and Lucas (L_k,L_m,L_n) numbers are
considered. Based on divisibility properties of the Fibonacci and Lucas numbers
we establish necessary and sufficient conditions for both semigroups to be
symmetric and calculate their Hilbert generating series, Frobenius numbers and
genera.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th