papers
Publications (30)
math.NT2014
Unitary Multiperfect Numbers in Certain Quadratic Rings
Colin Defant
math.NT2015
Multiperfect Numbers in Certain Quadratic Rings
Colin Defant
math.CO2018
Domination and Upper Domination of Direct Product Graphs
Colin Defant, Sumun Iyer
math.CO2018
Enumerating Cliques in Direct Product Graphs
Colin Defant
math.NT2018
Connected Components of Complex Divisor Functions
Colin Defant
math.CO2019
Descents in $t$-Sorted Permutations
Colin Defant
math.CO2019
On Anti-Powers in Aperiodic Recurrent Words
Aaron Berger, Colin Defant
math.CO2018
Flexible Toggles and Symmetric Invertible Asynchronous Elementary Cellular Automata
Colin Defant
math.CO2017
Poset Pattern-Avoidance Problems Posed by Yakoubov
Colin Defant
math.NT2015
A Note about Iterated Arithmetic Functions
Colin Defant
math.CO2019
Stack-Sorting Preimages of Permutation Classes
Colin Defant
math.NT2015
On the Density of Ranges of Generalized Divisor Functions
Colin Defant
math.NT2014
On Schemmel Nontotient Numbers
Colin Defant
math.NT2014
On 2-powerfully Perfect Numbers in Three Quadratic Rings
Colin Defant
math.NT2018
Ranges of Unitary Divisor Functions
Colin Defant
math.CO2016
Anti-Power Prefixes of the Thue-Morse Word
Colin Defant
math.CO2018
Preimages under the Stack-Sorting Algorithm
Colin Defant
math.CO2017
Unitary Cayley Graphs of Dedekind Domain Quotients
Colin Defant
math.NT2017
On the Density of Ranges of Generalized Divisor Functions with Restricted Domains
Colin Defant
math.NT2015
On Arithmetic Functions Related to Iterates of the Schemmel Totient Functions
Colin Defant
math.NT2014
On Sparsely Schemmel Totient Numbers
Colin Defant
math.NT2018
Complex Divisor Functions
Colin Defant
math.NT2015
On Ranges of Variants of the Divisor Functions that are Dense
Colin Defant
math.CO2015
Upper Bounds for Stern's Diatomic Sequence and Related Sequences
Colin Defant
math.NT2015
An Arithmetic Function Arising from the Dedekind $Ï$ Function
Colin Defant
math.CO2019
Isoperimetry, Stability, and Irredundance in Direct Products
Noga Alon, Colin Defant
math.NT2015
An Extension of the Abundancy Index to Certain Quadratic Rings
Colin Defant
math.NT2017
Revisiting The Riemann Zeta Function at Positive Even Integers
Krishnaswami Alladi, Colin Defant
math.CO2015
An Anti-Ramsey Problem Concerning Complete Bipartite Graphs
Stephan Cho, Jay Cummings, Colin Defant +1
math.CO2018
Stack-sorting for Words
Colin Defant, Noah Kravitz