Geodesic
The Number of Fields Generated by the Square Root of Values of a Given Polynomial
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 71-79

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DOI

The $abc$ -conjecture is applied to various questions involving the number of distinct fields $\mathbb{Q}\left( \sqrt{f(n)} \right)$ , as we vary over integers $n$ .
DOI : 10.4153/CMB-2003-007-0
Mots-clés : 11N32, 11D41 
Cutter, Pamela; Granville, Andrew; Tucker, Thomas J. The Number of Fields Generated by the Square Root of Values of a Given Polynomial. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 71-79. doi: 10.4153/CMB-2003-007-0
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     title = {The {Number} of {Fields} {Generated} by the {Square} {Root} of {Values} of a {Given} {Polynomial}},
     journal = {Canadian mathematical bulletin},
     pages = {71--79},
     year = {2003},
     volume = {46},
     number = {1},
     doi = {10.4153/CMB-2003-007-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-007-0/}
}
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