Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Mertens Conjecture for Elliptic Curves over Finite Fields   We introduce an analogue of the Mertens conjecture for elliptic curves over
finite fields. Using a result of Waterhouse, we classify the isogeny classes of
elliptic curves for which this conjecture holds in terms the size of the finite
field and the trace of the Frobenius endomorphism acting on the curve.

5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph