3 papers
math.NT2011
On the minimal set for counterexamples to the local-global principle
Laura Paladino, Gabriele Ranieri, Evelina Viada
We prove that only for powers of 2 and 3 could occur counterexamples to the local-global divisibility principle for elliptic curves defined over the rationals. For we refine our pr…
math.NT2011
On local-global divisibility by in elliptic curves
Laura Paladino, Gabriele Ranieri, Evelina Viada
Let be a prime lager than 3. Let be a number field, which does not contain the subfield of of degree over . Suppose that $\mathcal{…
math.NT2009
On the linear independence of p-adic L-functions modulo p
Bruno Angles, Gabriele Ranieri
Inspired by Warren Sinnott 's method we prove a linear independence result modulo p for the Iwasawa power series associated to Kubota-Leopoldt p-adic L-functions.