3 papers
math.NT2026
A Classification of Small MSTD Sets in Arbitrary Fields
Yorick Herrmann
A finite set in an additive abelian group is a More Sums Than Differences (MSTD) set if . We prove that no MSTD set of size exists in an additive abelian gro…
math.NT2025
Additional Constructions of Sequences of Alternating Sum and Difference Dominated Sets
Yorick Herrmann, Connor Hill, Merlin Phillips +3
A More Sums Than Differences (MSTD) set is a finite set of integers where the cardinality of its sumset, , is greater than the cardinality of its difference set, . We…
math.NT2025
Constructions of Sequences of Alternating Sum and Difference Dominated Sets
Yorick Herrmann, Connor Hill, Merlin Phillips +3
A More Sums Than Difference (MSTD) set is a finite set of integers where the cardinality of its sumset, , is greater than the cardinality of its difference set, . Sin…