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math.NT2026
Explicit composition identities for higher composition laws
Gautam Chinta, Ajith Nair
In 2001, Bhargava proved a composition law for integer cubes, which generalized Gauss composition of integral binary quadratic forms. Furthermore, he derived…
math.NT2024
Most subrings of have large corank
Gautam Chinta, Kelly Isham, Nathan Kaplan
If is a sublattice of index , then is a finite abelian group of order and rank at most . Several authors have studied statist…