Antonin Riffaut

most citedLinear independence of powers of singular moduli of degree 3

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.NT2018

Fields generated by sums and products of singular moduli

Bernadette Faye, Antonin Riffaut

We show that the field $Q (x, y)$ , generated by two singular moduli~ $x$ and~ $y$ , is generated by their sum $x + y$ , unless~ $x$ and~ $y$ are conjugate over~ $Q$ , in wh…

math.NT2017★ 1 cited

Linear independence of powers of singular moduli of degree 3

Florian Luca, Antonin Riffaut

We show that two distinct singular moduli $j (τ), j (τ^{'})$ , such that for some positive integers $m, n$ the numbers $1, j (τ)^{m}$ and $j (τ^{'})^{n}$ are linearly dependent over $Q$ ge…