Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates on Lattice Points in the Circle   This paper provides estimates on the difference between the number of integer
lattice points an a circle centered at the origin and the area. The estimates
have the form "Big O" of the product of logarithm of the radius and the radius
raised to a power 2b. The simplest new estimate obtained is b = 5/16; the best
is b = 1507/4875 = .309128205...

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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: stat