Work

Effective resolution of families of norm form equations

Year: 2025

Type: article

Abstract: We solve some parametric families of norm form equations using a method recently introduced by Amoroso, Masser and Zannier. We show that for all sufficiently large (in an effective way) integer values of the parameter, every integer solution arises from specializing a functional solution over \mathbb{Z}[T] . We find such functional solutions.

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1059

Author: Giovanni Marzenta

Institution: Scuola Normale Superiore

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414246033

FWCI:

Cites:

Cited by:

Related to: