U. Zannier

activity

20002008

most citedRational points in periodic analytic sets and the Manin-Mumford conjecture

12 citations · 22 across the 8 of their papers we have counts for

collaborators

Showing 2004Show all

2 papers · 1 filter

math.NT2004★ 1 cited

On the rational approximations to the powers of an algebraic number

Pietro Corvaja, Umberto Zannier

About fifty years ago Mahler proved that if $α > 1$ is rational but not an integer and if $0 < l < 1$ then the fractional part of $α^{n}$ is $> l^{n}$ apart from a finite set of integers $n$ …

math.NT2004

On the length of continued fractions for values of quotients of power sums

Pietro Corvaja, Umberto Zannier

Generalizing a result of Pourchet, we prove that, if $α, β$ are power sums satisfying suitable conditions, the length of the continued fraction of the ratio $α (n) / β (n)$ tends to inf…