Hector Pasten

most citedRepresentation of powers by polynomials over function fields and a problem of Logic

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2021

A conjecture of Watkins for quadratic twists

Jose A. Esparza-Lozano, Hector Pasten

Watkins conjectured that for an elliptic curve $E$ over $Q$ of Mordell-Weil rank $r$ , the modular degree of $E$ is divisible by $2^{r}$ . If $E$ has non-trivial rational $2$ -…

math.NT2011★ 2 cited

Representation of powers by polynomials over function fields and a problem of Logic

Hector Pasten

We solve a generalization of Büchi's problem in any exponent for function fields, and briefly discuss some consequences on undecidability. This provides the first example where thi…