Let $R=\mathbb C\{x_1,...,x_n\}\subset S=\mathbb C [[x_1,...,x_n]]$ denote the ring of convergent, respectively formal, power series over $\mathbb C$.
Suppose $f\in R$ is irreducible in $R$. Does it remain irreducible in $S$?
2026-03-28 11:33:37.1774697617
Factorization in formal power series versus in convergent power series over the complexes
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