Some factorization results on polynomials having integer coefficients
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911757990100992 |
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| author | Singh, Jitender Garg, Rishu |
| author_facet | Singh, Jitender Garg, Rishu |
| contents | In this article, we prove some factorization results for several classes of polynomials having integer coefficients, which in particular yield several classes of irreducible polynomials. Such classes of polynomials are devised by imposing some sufficiency conditions on their coefficients along with some conditions on the prime factorization of constant term or the leading coefficient of the underlying polynomials in conjunction with the information about their root location. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15611 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some factorization results on polynomials having integer coefficients Singh, Jitender Garg, Rishu Number Theory Commutative Algebra Algebraic Geometry 12E05, 30C15, 11C08, 26C10, 26D05, 30A10 In this article, we prove some factorization results for several classes of polynomials having integer coefficients, which in particular yield several classes of irreducible polynomials. Such classes of polynomials are devised by imposing some sufficiency conditions on their coefficients along with some conditions on the prime factorization of constant term or the leading coefficient of the underlying polynomials in conjunction with the information about their root location. |
| title | Some factorization results on polynomials having integer coefficients |
| topic | Number Theory Commutative Algebra Algebraic Geometry 12E05, 30C15, 11C08, 26C10, 26D05, 30A10 |
| url | https://arxiv.org/abs/2311.15611 |