collaborators

1 paper

math.NT2026

Higher Reciprocity, Cassels Pairings, and Selmer Towers for the 3/5 Congruent Number Problem

Kaisheng Lei, Shisong Xu

We study the arithmetic of the elliptic curves \[ A_m:y^2=x(x-m)(x+4m) \] attached to the congruent number problem. A difference of ternary representation numbers controls th…