Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Products of Small Integers in Residue Classes and Additive Properties of
  Fermat Quotients   We show that for any $\varepsilon > 0$ and a sufficiently large cube-free
$q$, any reduced residue class modulo $q$ can be represented as a product of
$14$ integers from the interval $[1, q^{1/4e^{1/2} + \varepsilon}]$. The length
of the interval is at the lower limit of what is possible before the Burgess
bound on the smallest quadratic nonresidue is improved. We also consider
several variations of this result and give applications to Fermat quotients.

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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: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph