Diophantine equations, named after the ancient mathematician Diophantus of Alexandria, are polynomial equations whose solutions are sought in integers or rational numbers. From the simplest linear and ...

A series of unsolved puzzles in number theory called Diophantine problems date back to 3,700 years ago. Over the years mathematicians have whittled away at them, and recent work has made significant ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. An American mathematician has cracked part of a problem that had ...

Diophantine equations, classical problems in number theory, seek integer or rational solutions to polynomial relations. When approached through algebraic number theory, these equations are studied ...

A famously difficult mathematical problem resisted solution for over 40 years. Mathematicians have finally resolved it by following an intuition that links number theory to physics. Mathematical ...

For decades, a math puzzle has stumped the smartest mathematicians in the world. x 3 +y 3 +z 3 =k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as ...

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry. By Kenneth Chang A German mathematician, Gerd Faltings, is this year’s winner ...

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics. Mathematics is full of weird number systems that most ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...