106 citations
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6 papers · 1 filter
Generalizations of a Curious Family of MSTD Sets Hidden By Interior Blocks
Hung Viet Chu, Noah Luntzlara, Steven J. Miller +1
A set is MSTD (more-sum-than-difference) or sum-dominant if , and is RSD (restricted-sum dominant) if , where is the set of sums of…
Infinite Families of Partitions into MSTD Subsets
Hung Viet Chu, Noah Luntzlara, Steven J. Miller +1
A set is MSTD (more-sum-than-difference) if . Though MSTD sets are rare, Martin and O'Bryant proved that there exists a positive constant lower bound for the propo…
Folded ribbon knots in the plane
Elizabeth Denne
This survey reviews Kauffman's model of folded ribbon knots: knots made of a thin strip of paper folded flat in the plane. The ribbonlength is the length to width ratio of such a r…
Period sets of linear recurrences over finite fields and related commutative rings
Michael R. Bush, Danjoseph Quijada
After giving an overview of the existing theory regarding the periods of sequences defined by linear recurrences over finite fields, we give explicit descriptions of the sets of pe…
The -permanent revisited
Carlos M. da Fonseca
Let be an -by- matrix. For any real number , we define the polynomial as the -permane…
Finite subgroups of the extended modular group
Gregory Dresden, Prakriti Panthi, Anukriti Shrestha +1
We show that in the extended modular group PGL(2,Z) there are exactly seven finite subgroups up to conjugacy; three subgroups of size 2, one subgroup each of size 3, 4, and 6, and…