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

3 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…

math.NT2017

Equations with powers of singular moduli

Antonin Riffaut

We treat two different equations involving powers of singular moduli. On the one hand, we show that, with two possible (explicitly specified) exceptions, two distinct singular modu…