Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete restriction estimates of epsilon-removal type for kth-powers
  and k-paraboloids   We obtain restriction estimates of $\epsilon$-removal type for the set of
$k$-th powers of integers, and for discrete $d$-dimensional surfaces of the
form \[ \{ (n_1,\dots,n_d,n_1^k + \dotsb + n_d^k) \,:\, |n_1|,\dots,|n_d| \leq
N \}, \] which we term '$k$-paraboloids'. For these surfaces, we obtain a
satisfying range of exponents for large values of $d,k$. We also obtain
estimates of $\epsilon$-removal type in the full supercritical range for $k$-th
powers and for $k$-paraboloids of dimension $d < k(k-2)$. We rely on a variety
of techniques in discrete harmonic analysis originating in Bourgain's works on
the restriction theory of the squares and the discrete parabola.

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The categories of this paper are: alg-geom
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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: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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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: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat