Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Number of Representations of Integers by various Quadratic and
  Higher Forms   We give formulas for the number of representations of non negative integers
by various quadratic forms. We also give evaluations in the case of sum of two
cubes (cubic case) and the quintic case, as well. We introduce a class of
generalized triangular numbers and give several evaluations. Finally, we
present a mean value asymptotic formula for the number of representations of an
integer as sum of two squares known as the Gauss circle problem.

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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: stat
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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: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th