Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Remark on the Effective Mordell Conjecture and Rational Pre-Images
  under Quadratic Dynamical Systems   Fix a rational basepoint b and a rational number c. For the quadratic
dynamical system f_c(x) = x^2+c, it has been shown that the number of rational
points in the backward orbit of b is bounded independent of the choice of
rational parameter c. In this short note we investigate the dependence of the
bound on the basepoint b, assuming a strong form of the Mordell Conjecture.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex