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math.NT2022
Reflective numerical semigroups
Caleb M. Shor
We define a reflective numerical semigroup of genus as a numerical semigroup that has a certain reflective symmetry when viewed within as an array with columns…
math.NT2022
On residues of rounded shifted fractions with a common numerator
Nicholas Dent, Caleb M. Shor
For any positive integer along with parameters and , we define and investigate -shifted, -offset, floor sequences of length . We find exact and asymptotic formu…