Diophantine m-tuples and Elliptic Curves

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.

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

“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)