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Finiteness criteria for the solutions of a sequence of decomposable form inequalities.

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Title: Finiteness criteria for the solutions of a sequence of decomposable form inequalities.
Authors: Si, Duc Quang1,2 (AUTHOR) quangsd@hnue.edu.vn
Source: Journal of Number Theory. Jul2026, Vol. 284, p131-148. 18p.
Subjects: Homogeneous polynomials, Factorization, Mathematical inequalities
Abstract: In this paper, we give a finiteness criterion for the solutions of the sequence of semi- q -decomposable form equations and inequalities, where the semi- q -decomposable form is factorized into a family of q nonconstant homogeneous polynomials with the distributive constant not exceeding a certain number. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Number Theory is the property of Academic Press Inc. 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 191664243
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  Data: Finiteness criteria for the solutions of a sequence of decomposable form inequalities.
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  Data: <searchLink fieldCode="AR" term="%22Si%2C+Duc+Quang%22">Si, Duc Quang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> quangsd@hnue.edu.vn</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Jul2026, Vol. 284, p131-148. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Homogeneous+polynomials%22">Homogeneous polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Factorization%22">Factorization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+inequalities%22">Mathematical inequalities</searchLink>
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  Data: In this paper, we give a finiteness criterion for the solutions of the sequence of semi- q -decomposable form equations and inequalities, where the semi- q -decomposable form is factorized into a family of q nonconstant homogeneous polynomials with the distributive constant not exceeding a certain number. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Journal of Number Theory is the property of Academic Press Inc. 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: 10.1016/j.jnt.2026.01.001
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 18
        StartPage: 131
    Subjects:
      – SubjectFull: Homogeneous polynomials
        Type: general
      – SubjectFull: Factorization
        Type: general
      – SubjectFull: Mathematical inequalities
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      – TitleFull: Finiteness criteria for the solutions of a sequence of decomposable form inequalities.
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            – D: 01
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
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              Value: 284
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