19 citations · 34 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…
Equidistribution of numerical semigroup gaps modulo
Caleb McKinley Shor
For a positive integer , a finite set of integers is said to be equidistributed modulo if the set contains an equal number of elements in each congruence class modulo . I…
Characterizations of numerical semigroup complements via Apéry sets
T. Alden Gassert, Caleb McKinley Shor
In this paper, we generalize the work of Tuenter to give an identity which completely characterizes the complement of a numerical semigroup in terms of its Apéry sets. Using this r…
On Sylvester sums of compound sequence semigroup complements
Thomas A. Gassert, Caleb M. Shor
In this paper, we consider the set of natural numbers which are not in the numerical semigroup generated by a compound sequence . We generalize a result of Tuen…
Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields
Tony Shaska, Caleb Shor
In this paper we continue the study of codes over imaginary quadratic fields and their weight enumerators and theta functions. We present new examples of non-equivalent codes over…