16 citations · 16 across the 6 of their papers we have counts for
6 papers
A Closed Form for the Pulsar Sequence
Ryan Liu, Vadim Ponomarenko
In this paper, we study the Pulsar Sequence, an integer sequence derived from Latin-square-based Pulsar puzzles introduced by the Cracking the Cryptic YouTube channel. A Pulsar puz…
On numerical semigroup elements and the - and -norms of their factorizations
Sogol Cyrusian, Alex Domat, Christopher O'Neill +3
A numerical semigroup is a cofinite, additively-closed subset of that contains 0, and a factorization of is a -tuple w…
Betti elements and full atomic support in rings and monoids
Scott T. Chapman, Pedro García-Sánchez, Christopher O'Neill +1
Several papers in the recent literature have studied factorization properties of affine monoids using the monoid's Betti elements. In this paper, we extend this study to more gener…
Some asymptotic results on -lengths of factorizations for numerical semigroups and arithmetical congruence monoids
Spencer Chapman, Eli B. Dugan, Shadi Gaskari +4
A factorization of an element in a monoid is an expression of the form for irreducible elements , and the…
Perspicacious norm parameters
Christopher O'Neill, Vadim Ponomarenko, Eric Ren
Fix . Let be an atomic commutative semigroup and, for all , let be the "-length set" of (using the sta…
Transport through a 1D Mott-Hubbard insulator of finite length
Vadim Ponomarenko, Naoto Nagaosa
Transport through a 1D Mott-Hubbard insulator of a finite length is studied beyond perturbative approach. At special value of the low energy constant of the interaction we have…