Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variation estimates for averages along primes and polynomials   We prove $q$-variation estimates, $q>2$, on $\ell^{p}$ spaces for averages
along primes (with $1<p<\infty$) and polynomials (with $\big| \frac1p - \frac12
\big| < \frac{1}{2(d+1)}$, where $d$ is the degree of the polynomial). This
improves the pointwise ergodic theorems for these averages in the corresponding
ranges of $L^{p}$ spaces.

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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: alg-geom
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys