Diophantine m-tuples and Elliptic Curves, 2024th Edition

“This book provides the essential motivational material for those new to the field of Diophantine m-tuples, effectively guiding readers to the forefront of current research. Graduates and researchers in number theory will find it an invaluable resource. Moreover, the book is engaging, well written, and includes numerous insightful exercises, making it an excellent tool for deepening understanding and fostering further exploration of this fascinating subject.” (Dimitrios Poulakis, Mathematical Reviews, July, 2025)

“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)

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.