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Saikia, Helen K.
- Irreducibility of A Formal Power Series with Integer Coefficients
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Authors
Affiliations
1 Department of Mathematics, Nalbari College, Nalbari 781335, IN
2 Department of Mathematics, Gauhati University, Guwahati 781014, IN
1 Department of Mathematics, Nalbari College, Nalbari 781335, IN
2 Department of Mathematics, Gauhati University, Guwahati 781014, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 3-4 (2021), Pagination: 298–308Abstract
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 ringReferences
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