2 papers
math.RA2026
Deformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series Rings
Morteza Ahmadi
Let be a commutative $\Q$-algebra and let denote its Hurwitz series ring. We introduce a one-parameter convolution $\hconv{t}$ on for which the specialization …
math.AC2026
Factorization Bounds and Irreducibility Criteria in Hurwitz Series Rings
Morteza Ahmadi
Let R be a principal ideal domain and let denote the Hurwitz series ring over R. We first give a recursive splitting formula for a Hurwitz series whose constant coefficient is…