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 ...

Let (X, μ) be a probability measure space and $T_{1},\ldots ,T_{n}$ be a family of commuting, measure preserving invertible transformations on X. Let $Q(m_{1},\ldots ...

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 ...

The set of solutions to a diophantine equation is strongly influenced by the geometry of the associated algebraic variety. This paradigm, for example, suggests that an elementary proof of Fermat’s ...

Research into the cryptanalysis of RSA and modular equations has seen significant evolution in recent years. The RSA cryptosystem, long revered for its robust security based on the computational ...