Some factorization results for formal power series Article Swipe
Rishu Garg
,
Jitender Singh
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2501.05375
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2501.05375
In this paper, we obtain some factorization results on formal power series over principle ideal domains with sharp bounds on number of irreducible factors. These factorization results correspondingly lead to irreducibility criteria for formal power series. The information about prime factorization of the constant term up to a unit and that of some higher order terms is utilized for the purpose. Further, using theory of Newton polygons for power series, we extend the classical Dumas irreducibility criterion to formal power series over discrete valuation domains, which in particular, yields several irreducibility criteria.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2501.05375
- https://arxiv.org/pdf/2501.05375
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4406273064
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- OpenAlex ID
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https://openalex.org/W4406273064Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2501.05375Digital Object Identifier
- Title
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Some factorization results for formal power seriesWork title
- Type
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-01-09Full publication date if available
- Authors
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Rishu Garg, Jitender SinghList of authors in order
- Landing page
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https://arxiv.org/abs/2501.05375Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2501.05375Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2501.05375Direct OA link when available
- Concepts
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Factorization, Integer (computer science), Series (stratigraphy), Formal power series, Power (physics), Mathematics, Power series, Computer science, Algorithm, Physics, Mathematical analysis, Biology, Quantum mechanics, Paleontology, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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