A Family of Fractal-Based Irreducible Polynomials.

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Title: A Family of Fractal-Based Irreducible Polynomials.
Authors: Laudano, Francesco1 frlaud.fl@gmail.com
Source: Mathematics Magazine. Dec2024, Vol. 97 Issue 5, p510-514. 5p.
Subject Terms: Irreducible polynomials, Pascal's triangle, Mathematical variables, Automorphisms, Addition (Mathematics)
Abstract: Summary: We provide some fractal-based irreducibility criteria for integer polynomials. The results are obtained using the self-similar pattern of Pascal's triangle modulo two and by applying a restatement of the Schönemann–Eisenstein's irreducibility criterion. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics Magazine is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A Family of Fractal-Based Irreducible Polynomials.
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  Data: <searchLink fieldCode="JN" term="%22Mathematics+Magazine%22">Mathematics Magazine</searchLink>. Dec2024, Vol. 97 Issue 5, p510-514. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Irreducible+polynomials%22">Irreducible polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Pascal's+triangle%22">Pascal's triangle</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+variables%22">Mathematical variables</searchLink><br /><searchLink fieldCode="DE" term="%22Automorphisms%22">Automorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Addition+%28Mathematics%29%22">Addition (Mathematics)</searchLink>
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  Data: Summary: We provide some fractal-based irreducibility criteria for integer polynomials. The results are obtained using the self-similar pattern of Pascal's triangle modulo two and by applying a restatement of the Schönemann–Eisenstein's irreducibility criterion. [ABSTRACT FROM AUTHOR]
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  Group: Ab
  Data: <i>Copyright of Mathematics Magazine is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/0025570X.2024.2406723
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      – Code: eng
        Text: English
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        PageCount: 5
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      – SubjectFull: Irreducible polynomials
        Type: general
      – SubjectFull: Pascal's triangle
        Type: general
      – SubjectFull: Mathematical variables
        Type: general
      – SubjectFull: Automorphisms
        Type: general
      – SubjectFull: Addition (Mathematics)
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      – TitleFull: A Family of Fractal-Based Irreducible Polynomials.
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              M: 12
              Text: Dec2024
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              Y: 2024
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