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math.NT2003★ 1 cited
A lower bound for the height of a rational function at -unit points
Pietro Corvaja, Umberto Zannier
Let be a finitely generated subgroup of the multiplicative group $\G_m^2(\bar{Q})$. Let $p(X,Y),q(X,Y)\in\bat{Q}$ be two coprime polynomials not both vanishing at ; let…
math.NT2003
A lower bound for periods of matrices
Pietro Corvaja, Zeev Rudnick, Umberto Zannier
For a nonsingular integer matrix A, we study the growth of the order of A modulo N. We say that a matrix is exceptional if it is diagonalizable, and a power of the matrix has all e…