Jun-Yu Lu

collaborators

2 papers

math.NT2026

Prescribed Abscissae on Congruent-Number Curves over Simplest Cubic Fields

Junyu Lu

For integers $t \geq - 1$ , let $θ_{t}$ be the largest real root of the Shanks polynomial $g_{t} (X) = X^{3} - t X^{2} - (t + 3) X - 1$ and put $K_{t} = Q (θ_{t})$ . We classify the points on $E_n:y^2=x^…

math.NT2026

Unit Indices of Shanks Orders

Junyu Lu

For an integer $t \geq - 1$ , let $θ_{t}$ be the largest real root of $g_{t} (X) = X^{3} - t X^{2} - (t + 3) X - 1$ , and set $R_{t} = Z [θ_{t}] \subseteq O_{t} = O_{Q (θ_{t})}$ , $N_t=…