Diana Mocanu

collaborators

2 papers

math.NT2022

Asymptotic Fermat for signatures $(r, r, p)$ using the modular approach

Diana Mocanu

Let $K$ be a totally real field, and $r \geq 5$ a fixed rational prime. In this paper, we use the modular method as presented in the work of Freitas and Siksek to study non-trivial,…

math.NT2022

Asymptotic Fermat for signatures $(p, p, 2)$ and $(p, p, 3)$ over totally real fields

Diana Mocanu

Let $K$ be a totally real number field and consider a Fermat-type equation $A a^{p} + B b^{q} = C c^{r}$ over $K$ . We call the triple of exponents $(p, q, r)$ the signature of the equation. We pr…

Asymptotic Fermat for signatures (r,r,p) using the modular approach

Asymptotic Fermat for signatures (p,p,2) and (p,p,3) over totally real fields

Asymptotic Fermat for signatures $(r, r, p)$ using the modular approach

Asymptotic Fermat for signatures $(p, p, 2)$ and $(p, p, 3)$ over totally real fields