Cargando…

Diophantine equations in separated variables and polynomial power sums

We consider Diophantine equations of the shape [Formula: see text] , where the polynomials f and g are elements of power sums. Using a finiteness criterion of Bilu and Tichy, we will prove that under suitable assumptions infinitely many rational solutions (x, y) with a bounded denominator are only p...

Descripción completa

Detalles Bibliográficos
Autores principales: Fuchs, Clemens, Heintze, Sebastian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Vienna 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550583/
https://www.ncbi.nlm.nih.gov/pubmed/34776538
http://dx.doi.org/10.1007/s00605-021-01560-6