3 papers
math.NT2026
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…
math.CO2026
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…
math.GR2026
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…