5 papers
Lexical tableaux and quasisymmetric functions
John M. Campbell, Spencer Daugherty
There is a natural bijection between standard immaculate tableaux of composition shape and length and the $ \left\{ \begin{smallmatrix} n \\ k \end{smallm…
Frobenius and Verschiebung for -theory of endomorphisms
Sanjana Agarwal, Jonathan Campbell, Diego Manco +2
We show that the Frobenius and Verschiebung maps that are fundamental to Witt vectors lift to the reduced K-theory of endomorphisms. In particular, we define Frobenius and Verschie…
A generalization of Deterministic Finite Automata related to discharging
John M. Campbell
Deterministic Finite Automata (DFAs) are of central importance in automata theory. In view of how state diagrams for DFAs are defined using directed graphs, this leads us to introd…
Three-parameter generalizations of formulas due to Guillera
John M. Campbell
Guillera has introduced remarkable series expansions for of convergence rates and via the Wilf-Zeilberger method. Through an accele…
Hypergeometric accelerations with shifted indices
John M. Campbell
Chu and Zhang, in 2014, introduced hypergeometric transforms derived through the application of an Abel-type summation lemma to Dougall's -series. These transforms wer…