most citedBounds on 2-torsion in class groups of number fields and integral points on elliptic curves

13 citations · 13 across the 1 of their papers we have counts for

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1 paper

math.NT2017★ 13 cited

Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves

Manjul Bhargava, Arul Shankar, Takashi Taniguchi +3

We prove the first known nontrivial bounds on the sizes of the 2-torsion subgroups of the class groups of cubic and higher degree number fields (the trivial bound being $O_ε(|{…