3 papers
math.NT2023
A survey of local-global methods for Hilbert's Tenth Problem
Sylvy Anscombe, Valentijn Karemaker, Zeynep Kisakürek +3
Hilbert's Tenth Problem (H10) for a ring R asks for an algorithm to decide correctly, for each , whether the diophantine equation $f(X_{1},...,X_…
math.NT2023
Testing local-global divisibility at a stable set
Alexander B. Ivanov, Laura Paladino
We show that the local-global divisibility in commutative algebraic groups defined over number fields can be tested on sets of primes of arbitrary small density, i.e. stable and pe…
math.NT2014
Fields generated by torsion points of elliptic curves
Andrea Bandini, Laura Paladino
Let K be a number field and let be an elliptic curve defined over . Let be a positive integer. We denote by the number fields obtained by a…