Algebraic functions with infinitely many values in a number field
We provide several characterizations of algebraic curves X : F ( x , y ) = 0 defined over ℚ ¯ that satisfy the following property: there exist a number field k and an infinite set S ⊂ k such that, for every y ∈ S , the roots of the polynomial F ( x , y ) belong to k .
Authors
- Fedor Pakovich (ORCID: https://orcid.org/0000-0002-0096-9781)
Institutions
- Ben-Gurion University of the Negev (IL)
Publication Details
- Journal
- Journal de Théorie des Nombres de Bordeaux
- Published
- 2026-09-16
- DOI
- https://doi.org/10.5802/jtnb.1370
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Israel Science Foundation