Trinomials, singular moduli and Riffaut's conjecture

Abstract

Riffaut (2019) conjectured that a singular modulus of degree $h\ge 3$ cannot be a root of a trinomial with rational coefficients. We show that this conjecture follows from the GRH, and obtain partial unconditional results.

arXiv comment45 pages, accepted for publication. This version takes into account the referees' comments

References in corpus (1)

• Singular Units and Isogenies Between CM Elliptic Curves

Cited by in corpus (1)

• Equations in three singular moduli: the equal exponent case