In this paper we study how the number of nonnegative integer solutions of $s$ integer linear equations in $n |geq s$ unknowns varies as a function of the ...

This is a preview. Log in through your library . Abstract The following theorem of H. Weyl is generalised to the context of locally compact abelian groups. Theorem ...

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 ...

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 ...

An American mathematician has cracked part of a problem that had remained unsolved for 64 years. Andrew Booker, Reader of Pure Mathematics at the University of Bristol in the U.K., worked out how to ...