Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds on odd order character sums   A classical result of Paley shows that there are infinitely many quadratic
characters $\chi\mod{q}$ whose character sums get as large as $\sqrt{q}\log
\log q$; this implies that a conditional upper bound of Montgomery and Vaughan
cannot be improved. In this paper, we derive analogous lower bounds on
character sums for characters of odd order, which are best possible in view of
the corresponding conditional upper bounds recently obtained by the first
author.

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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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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: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga