Irreducibility of A Formal Power Series with Integer Coefficients

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Authors

  • Department of Mathematics, Nalbari College, Nalbari 781335 ,IN
  • Department of Mathematics, Gauhati University, Guwahati 781014 ,IN

DOI:

https://doi.org/10.18311/jims/2021/24897

Keywords:

Irreducible element, invertible element, factorization, formal power series ring
13P05, 13F25, 11Y05

Abstract

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.

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Published

2021-06-14

How to Cite

Dutta, M. S., & Saikia, H. K. (2021). Irreducibility of A Formal Power Series with Integer Coefficients. The Journal of the Indian Mathematical Society, 88(3-4), 298–308. https://doi.org/10.18311/jims/2021/24897
Received 2020-02-18
Accepted 2023-01-30
Published 2021-06-14

 

References

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