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math.NT2026
Densities of arithmetic Hecke triangle group orbits
Samantha Fairchild, Christopher R. H. Hanusa
We give new proofs computing the asymptotic densities for orbits of the arithmetic Hecke triangle groups when and . We use elementary number theory techniques alon…
math.NT2012
The number of self-conjugate core partitions
Christopher R. H. Hanusa, Rishi Nath
A conjecture on the monotonicity of t-core partitions in an article of Stanton [Open positivity conjectures for integer partitions, Trends Math., 2:19-25, 1999] has been the cataly…