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 Let $A$ be an $m \times n$ matrix of rank $r$ with integer entries. It is proved that if the system $Ax = 0 ...

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 ...

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 ...

Our work introducing the notion of cache miss equations (CMEs) allows for the tight customization of a program's memory reference characteristics to a particular memory hierarchy. Five to ten years ...