On the arithmetic of the hyperelliptic curve $y^2=x^n+a$

Czechoslovak Mathematical Journal

enay¹  Kevser ²  Akta³  Hasan ⁵ 

[1] , Department of Mathematics Education, Mevlana University, Yeni Istanbul Cad 235, 42003 SelçDepartment of Mathematics, Faculty of Science, Selçuk University, Campus, 42003, Selçuklu, Konya, Turkey;uklu, Konya, Turkey,

关键词: hyperelliptic curve;    Lang's conjecture;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

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).

【 授权许可】

Unknown