6 papers
Partition-theoretic density formulas: radial Tauberian theory and non-radial instability
Mohammad F. Marashdeh
Ono, Schneider and Wagner found a partition-theoretic analogue of Alladi's duality formula: for many sets , the series over partitions…
Two-basepoint Terwilliger algebras and the quantum symmetry of prime-order circulants
Mohammad F. Marashdeh
Which vertex-transitive graphs of prime order have quantum symmetry? The question of Banica, Bichon and Chenevier is open in the dense regime of Paley graphs, where coherent-algebr…
A square-root law for equitable coloring
Mohammad F. Marashdeh
An equitable -coloring of a graph partitions its vertex set into independent sets whose sizes differ by at most one; the least such is the equitable chromatic number $\c…
A descent-set obstruction for the Casas-Alvero conjecture
Mohammad F. Marashdeh
The Casas--Alvero conjecture asserts that a monic polynomial of degree over a field of characteristic zero sharing a non-constant factor with each of i…
An upper bound for the type of a numerical semigroup, and a reduction of Wilf's conjecture
Mohammad F. Marashdeh
Let be a numerical semigroup with multiplicity $\mult$, conductor $\cc$, embedding dimension $\ee$, type $\typ$ and genus $\gnus$, and let $\nn=\cc-\gnus$. Wilf's conjecture as…
A phase transition in the directional growth of lamplighter groups
Mohammad F. Marashdeh
Let be a finitely generated group with a surjective homomorphism . The directional growth spectrum is the exponential rate of the number of elements of l…