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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.NT2013
Prime injections and quasipolarities
Octavio Alberto Agustín-Aquino
Let be a prime number. Consider the injection \[ ι:\mathbb{Z}/n\mathbb{Z}\to\mathbb{Z}/pn\mathbb{Z}:x\mapsto px, \] and the elements $e^{u}.v:=(u,v)\in \mathbb{Z}/n\mathbb{Z}\r…