<abstract xmlns="http://www.w3.org/1999/xhtml">

We give an algebraic description of the set of algebraic points of degree at most <italic>d</italic> over ℚ on hyperelliptic curves <italic>y</italic>2 = <italic>x</italic>5 + <italic>n</italic>2.
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We give an algebraic description of the set of algebraic points of degree at most d over ℚ on hyperelliptic curves y2 = x5 + n2.

Algebraic points on the hyperelliptic curves <italic>y</italic>2 = <italic>x</italic>5 + <italic>n</italic>2

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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Algebraic points on the hyperelliptic curves  =  + 

Algebraic points on the hyperelliptic curves y² = x⁵ + n²

Publié en ligne: 11 mai 2023

Pages: 21 - 31

Reçu: 14 févr. 2022

Accepté: 17 mars 2023

DOI: https://doi.org/10.2478/aupcsm-2023-0003

© 2023 Moustapha Camara et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Algebraic points on the hyperelliptic curves y2 = x5 + n2

Publié en ligne: 11 mai 2023

Pages: 21 - 31

Reçu: 14 févr. 2022

Accepté: 17 mars 2023

DOI: https://doi.org/10.2478/aupcsm-2023-0003

© 2023 Moustapha Camara et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Algebraic points on the hyperelliptic curves y² = x⁵ + n²