Work

Polynomial‐exponential equations — Some new cases of solvability

Year: 2024

Type: article

Abstract: Recently, Brownawell and the second author proved a ‘non‐degenerate’ case of the (unproved) ‘Zilber Nullstellensatz’ in connexion with ‘Strong Exponential Closure’. Here, we treat some significant new cases. In particular, these settle completely the problem of solving polynomial‐exponential equations in two complex variables. The methods of proof are also new, as is the consequence, for example, that there are infinitely many complex with .

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.12627

Authors: Vincenzo Mantova, David Masser

Institutions: University of Leeds, University of Basel

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,520

Funder: Engineering and Physical Sciences Research Council