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math.NT2026
The Wang--Sun Sum over Affine Derangements
Octavio A. Agust\'ın Aquino
Let be even, let be a primitive -th root of unity, and let be the set of derangements in the affine group . We evaluat…
math.CO2026
Cyclic Sieving for Strong Dichotomy Enumeration
Octavio A. Agustín-Aquino
Agustín-Aquino solved, in terms of the table of marks of $\Aff(\mathbb{Z}/2k\mathbb{Z})$, the problem of enumerating the classes of bicolour self-complementary and rigid patterns i…