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Diophantine m-tuples and Elliptic Curves

BuchGebunden
335 Seiten
Englisch
Springererschienen am05.06.20242024
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.mehr
Verfügbare Formate
BuchGebunden
EUR139,09
E-BookPDF1 - PDF WatermarkE-Book
EUR128,39

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-031-56723-0
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2024
Erscheinungsdatum05.06.2024
Auflage2024
ReiheDevelopments in Mathematics
Seiten335 Seiten
SpracheEnglisch
Gewicht631 g
IllustrationenXI, 335 p. 7 illus.
Artikel-Nr.55895599

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- Elliptic curves over the rationals.- Elliptic curves induced by Diophantine triples.- Integer points on elliptic curves.- Sets with the property D(n).mehr
Kritik
"The present book is a monograph on a very specialized topic in number theory, namely Diophantine m-tuples. ... this book is very complex, containing results from a very interesting and current research field. I think that this book deserved to be published by the Springer publishing house and I think it will be a benchmark for current research in number theory." (Diana Savin, Bulletin of the Transilvania University of Brasov, Vol. 4 (1), 2024)mehr

Autor

Andrej Dujella is a professor of mathematics at the University of Zagreb, Fellow of the Croatian Academy of Sciences and Arts and Doctor Honoris Causa of University of Debrecen. His research interests include Diophantine equations, elliptic curves, polynomial root separation, and applications of Diophantine approximation to cryptography.
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Dujella, Andrej