Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the least totient of a residue class   Let $q$ be a large prime number, $a$ be any integer, $\epsilon$ be a fixed
small positive quantity. Friedlander and Shparlinksi \cite{FSh} have shown that
there exists a positive integer $n\ll q^{5/2+\epsilon}$ such that $\phi(n)$
falls into the residue class $a \pmod q.$ Here, $\phi(n)$ denotes Euler's
function. In the present paper we improve this bound to $n\ll q^{2+\epsilon}.$

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The categories of this paper are: hep-lat
27
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: nucl-ex
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: atom-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: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys