Trinomials, singular moduli and Riffaut's conjecture
Number Theory
2021-08-30 v2
Abstract
Riffaut (2019) conjectured that a singular modulus of degree cannot be a root of a trinomial with rational coefficients. We show that this conjecture follows from the GRH, and obtain partial unconditional results.
Keywords
Cite
@article{arxiv.2003.06547,
title = {Trinomials, singular moduli and Riffaut's conjecture},
author = {Yuri Bilu and Florian Luca and Amalia Pizarro-Madariaga},
journal= {arXiv preprint arXiv:2003.06547},
year = {2021}
}
Comments
45 pages, accepted for publication. This version takes into account the referees' comments