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Irreducibility of A Formal Power Series with Integer Coefficients
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In this article, we have established a relation between total number of partitions of a positive integer n and all possible factorizations of a power series with constant term prime power pn, into irreducible power series. Finally we try to develop an irreducibility criterion for power series whose constant term is a prime power.
Keywords
Irreducible element, invertible element, factorization, formal power series ring
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