Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of exceptional orthogonal polynomials and the maximum of the
  modulus of an energy function   We propose a new property of the zeros of exceptional orthogonal polynomials.
It has been known that exceptional orthogonal polynomials (XOP) have both real
and complex zeros. By fixing m variables at the imaginary parts of the complex
zeros of XOP, we find that in some cases the modulus of the energy function of
a many-particle system attains its maximum at the zeros of XOP. We give a
sufficient condition for this result with respect to the denominators of the
weight function of XOP.

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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex