Geodesic
On the arithmetic of the hyperelliptic curve $y^2=x^n+a$
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 35-40 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2=x^n+a$ by exploiting the structure of the automorphism groups. We show that these curves satisfy Lang's conjecture about the covering radius (for some special covering maps).
We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2=x^n+a$ by exploiting the structure of the automorphism groups. We show that these curves satisfy Lang's conjecture about the covering radius (for some special covering maps).
DOI : 10.1007/s10587-016-0236-3
Classification : 11G30, 14H25
Keywords: hyperelliptic curve; Lang's conjecture 
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Aktaş, Kevser; Şenay, Hasan. On the arithmetic of the hyperelliptic curve $y^2=x^n+a$. Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 35-40. doi: 10.1007/s10587-016-0236-3

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