Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing all S-integral points on elliptic curves   In this note we combine the advantages of the methods of Siegel-Baker-Coates
and of Lang-Zagier for the computation of S-integral points on elliptic curves
in Weierstrass normal form over the rationals. In this way we are able to
overcome the absence of an explicit lower bound for linear forms in q-adic
elliptic logarithms. We present an efficient algorithm for determining all
S-integral points on such curves.

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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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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: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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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: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: quant-ph