Published January 1, 2016
| Version v1
Journal article
Open
On the arithmetic of the hyperelliptic curve y (2) = x (n) + a
Creators
- 1. Selcuk Univ, Fac Sci, Dept Math, Campus, TR-42003 Konya, Turkey
- 2. Mevlana Univ, Dept Math Educ, Yeni Istanbul Cad 235, TR-42003 Konya, Turkey
Description
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).
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bib-984a9e8e-f46c-47d7-9f83-a358c345b933.txt
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