# Publishing house / Banach Center Publications / All volumes

## Banach Center Publications

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

## A note on the torsion of the Jacobians of superelliptic curves $y^{q}=x^{p}+a$

### Volume 108 / 2016

Banach Center Publications 108 (2016), 143-149 MSC: Primary 11G10, 11G15, 11G20, 11G25, 11G30; Secondary 11L05, 11R45. DOI: 10.4064/bc108-0-11

#### Abstract

This article is a short version of the paper published in J.~Number Theory 145~(2014) but we add new results and a brief discussion about the Torsion Conjecture. Consider the family of superelliptic curves (over $\mathbb{Q}$) $C_{q,p,a}\colon\ y^{q}=x^{p}+a$, and its Jacobians $J_{q,p,a}$, where \$2

#### Authors

• Tomasz JędrzejakInstitute of Mathematics
University of Szczecin
Wielkopolska 15
70-451 Szczecin, Poland
e-mail

## Search for IMPAN publications

Query phrase too short. Type at least 4 characters.