The Problem of Catalan

• Main Authors: Bilu, Yuri F. (Author), Bugeaud, Yann (Author), Mignotte, Maurice (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Subjects: Mathematics.; Algebra.; Number theory.; Number Theory.; General Algebraic Systems.

In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In this book we give a complete and (almo...