A note on the torsion of the Jacobians of superelliptic curves $y^{q}=x^{p}+a$
A note on the torsion of the Jacobians of superelliptic curves $y^{q}=x^{p}+a$
This article is a short version of the paper published in </i>J.~Number Theory</i> 145~(2014) but we add new results and a brief discussion about the Torsion Conjecture. Consider the family of superelliptic curves (over $\mathbb{Q}$) $C_{q,p,a}\colon\