Diophantine m-tuples and Elliptic Curves

This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with elliptic curves. It presents the contributions of famous ma...

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Detalles Bibliográficos
Autor principal: Dujella, Andrej (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Lenguaje:inglés
Publicado: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edición:1st ed. 2024.
Colección:Developments in Mathematics, 79
Materias:
Acceso en línea:https://doi.org/10.1007/978-3-031-56724-7
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Tabla de Contenidos:
  • Introduction
  • Elliptic curves over the rationals
  • Elliptic curves induced by Diophantine triples
  • Integer points on elliptic curves
  • Sets with the property D(n).