Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Density of Integer Points on the Generalised Markoff-Hurwitz and
  Dwork Hypersurfaces   We use bounds of mixed character sums modulo a prime $p$ to estimate the
density of integer points on the hypersurface $$ f_1(x_1) + \ldots + f_n(x_n)
=a x_1^{k_1} \ldots x_n^{k_n} $$ for some polynomials $f_i \in {\mathbb Z}[X]$,
nonzero integer $a$ and positive integers $k_i$ $i=1, \ldots, n$. In the case
of $$ f_1(X) = \ldots = f_n(X) = X^2 \quad \text{and}\quad k_1 = \ldots = k_n
=1 $$ the above congruence is known as the Markoff-Hurwitz hypersurface, while
for $$ f_1(X) = \ldots = f_n(X) = X^n\quad \text{and}\quad k_1 = \ldots = k_n
=1 $$ it is known as the Dwork hypersurface. Our result is substantially
stronger than those known for general hypersurfaces.

23
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: bayes-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: supr-con