An irreducibility criterion for power series

TL;DR

This paper introduces a new criterion to determine when polynomials with power series coefficients are irreducible, extending previous results related to quasi-ordinary polynomials.

Contribution

It generalizes existing irreducibility criteria for polynomials with power series coefficients, broadening their applicability.

Findings

Established a new irreducibility criterion for power series polynomials

Extended the class of polynomials for which irreducibility can be effectively tested

Generalized known results on quasi-ordinary polynomials

Abstract

We prove an irreducibility criterion for polynomials with power series coefficients generalizing previous known results concerning quasi-ordinary polynomials.