Ruixiang Zhang

collaborators

2 papers

math.AC2025

The reciprocal complement of a polynomial ring in several variables over a field

Neil Epstein, Lorenzo Guerrieri, K. Alan Loper

The *reciprocal complement* $R (D)$ of an integral domain $D$ is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of $R (D)$ ar…

math.NT2024

Rank growth of elliptic curves in $S_{4}$ and $A_{4}$ quartic extensions of the rationals

Daniel Keliher

We investigate the rank growth of elliptic curves from $Q$ to $S_{4}$ and $A_{4}$ quartic extensions $K / Q$ . In particular, we are interested in the quantity $\mathrm{…

The reciprocal complement of a polynomial ring in several variables over a field

Rank growth of elliptic curves in S4​ and A4​ quartic extensions of the rationals

Rank growth of elliptic curves in $S_{4}$ and $A_{4}$ quartic extensions of the rationals