Gabriele Ranieri

activity

20092026

most citedOn local-global divisibility by

p^{n}

in elliptic curves

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

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★ 1 cited

On local-global divisibility by $p^{n}$ in elliptic curves

Laura Paladino, Gabriele Ranieri, Evelina Viada

Let $p$ be a prime number and let $k$ be a number field, which does not contain the field $Q (ζ_{p} + ζ_{p} ˉ)$ . Let $E$ be an elliptic curve defined over $k$ .…

math.NT2011

On local-global divisibility by $p^{2}$ in elliptic curves

Laura Paladino, Gabriele Ranieri, Evelina Viada

Let $p$ be a prime lager than 3. Let $k$ be a number field, which does not contain the subfield of $Q (ζ_{p^{2}})$ of degree $p$ over $Q$ . Suppose that $\mathcal{…

On the minimal set for counterexamples to the local-global principle

On local-global divisibility by pn in elliptic curves

On local-global divisibility by p2 in elliptic curves

On local-global divisibility by $p^{n}$ in elliptic curves

On local-global divisibility by $p^{2}$ in elliptic curves