A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

Dynamical systems and ergodic theory have become central to modern approaches in number theory by recasting arithmetic questions as problems about long-term behaviour of orbits under iteration. Such ...

From Quanta Magazine (find original story here). In 1847, Gabriel Lamé proved Fermat’s Last Theorem. Or so he thought. Lamé was a French mathematician who had made many important discoveries. In March ...

Some of us might solve crossword puzzles or Sudoko games to exercise our minds, but [Nathan Nichols] plays with exotic number systems to keep the brain cells in shape. He wrote the Hanoi C99 library ...

The natives of a remote Polynesian Island invented a binary number system, similar to the one used by computers to calculate, centuries before Western mathematicians did, new research suggests.

Some of us might solve crossword puzzles or Sudoko games to exercise our minds, but [Nathan Nichols] plays with exotic number systems to keep the brain cells in shape. He wrote the Hanoi C99 library ...

For centuries, mathematicians tried to solve problems by adding new values to the usual numbers. Now they’re investigating the unintended consequences of that tinkering. In 1847, Gabriel Lamé proved ...