Session S09 - Number Theory in the Americas

Thursday, July 15, 14:00 ~ 14:30 UTC-3

Trinomials, singular moduli and Riffaut's conjecture

Amalia Pizarro

U. Valparaiso, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Riffaut (2019) conjectured that a singular modulus of degree $h > 2$ cannot be a root of a trinomial with rational coefficients. In this talk, we will show that this conjecture follows from the GRH, and obtain partial unconditional results.

Joint work with Yu. F. Bilu (U. Bordeaux, France) and F. Luca (Wits, South Africa and UNAM, Mexico).

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