In mathematics, no researcher works in true isolation. Even those who work alone use the theorems and methods of their colleagues and predecessors to develop new ideas. But when a known technique is ...

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 ...

Mathematics of Computation, Vol. 47, No. 176 (Oct., 1986), pp. 713-727 (15 pages) We show how the Gelfond-Baker theory and diophantine approximation techniques can be ...