Three researchers from Bristol University are seeking to develop methods for analysing the distribution of integer solutions to polynomial equations. How do you know when a polynomial equation has ...

SIAM Journal on Applied Mathematics, Vol. 32, No. 1 (Jan., 1977), pp. 215-219 (5 pages) An analysis that progresses recursively along the terms of a linear equation generates a simple algebraic ...

Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence 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 ...