Geodesic
On the arithmetic of the hyperelliptic curve $y^2=x^n+a$
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 35-40

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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).
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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