Diophantine m-tuples and Elliptic Curves

AvAndrej Dujella

Inbunden, Engelska, 2024

Del i serien Developments in Mathematics

1 380 kr

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1 380 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-06-05
Mått:155 x 235 x 25 mm
Vikt:688 g
Format:Inbunden
Språk:Engelska
Serie:Developments in Mathematics
Antal sidor:335
Förlag:Springer International Publishing AG
ISBN:9783031567230

Utforska kategorier

Talteori inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

“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)

Innehållsförteckning

Introduction.- Elliptic curves over the rationals.- Elliptic curves induced by Diophantine triples.- Integer points on elliptic curves.- Sets with the property D(n).