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Corrigendum to ''A unifying theory for metrical results on regular continued fraction convergents and mediants''.

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Title: Corrigendum to ''A unifying theory for metrical results on regular continued fraction convergents and mediants''.
Authors: Dajani, Karma1 (AUTHOR), Kraaikamp, Cor2 (AUTHOR), Sanderson, Slade3 (AUTHOR)
Source: Mathematics of Computation. May2026, Vol. 95 Issue 359, p1569-1572. 4p.
Subjects: Continued fractions, Scholarly periodical corrections, Refutation (Logic)
Abstract: There is an error in the statement and proof of Theorem 4.8 of the authors' paper, 'A unifying theory for metrical results on regular continued fraction convergents and mediants' [Math. Comp. 94 (2025), pp. 3101–3144]. This theorem (and subsequent, dependent results) are reformulated here with correct hypotheses. We note that our applications of the original results satisfy these stronger hypotheses and thus remain valid. Moreover, we present a counterexample to the original statement of Theorem 4.8. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics of Computation is the property of American Mathematical Society 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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  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 191660139
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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Items – Name: Title
  Label: Title
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  Data: Corrigendum to ''A unifying theory for metrical results on regular continued fraction convergents and mediants''.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Dajani%2C+Karma%22">Dajani, Karma</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kraaikamp%2C+Cor%22">Kraaikamp, Cor</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sanderson%2C+Slade%22">Sanderson, Slade</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mathematics+of+Computation%22">Mathematics of Computation</searchLink>. May2026, Vol. 95 Issue 359, p1569-1572. 4p.
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  Data: <searchLink fieldCode="DE" term="%22Continued+fractions%22">Continued fractions</searchLink><br /><searchLink fieldCode="DE" term="%22Scholarly+periodical+corrections%22">Scholarly periodical corrections</searchLink><br /><searchLink fieldCode="DE" term="%22Refutation+%28Logic%29%22">Refutation (Logic)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: There is an error in the statement and proof of Theorem 4.8 of the authors' paper, 'A unifying theory for metrical results on regular continued fraction convergents and mediants' [Math. Comp. 94 (2025), pp. 3101–3144]. This theorem (and subsequent, dependent results) are reformulated here with correct hypotheses. We note that our applications of the original results satisfy these stronger hypotheses and thus remain valid. Moreover, we present a counterexample to the original statement of Theorem 4.8. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematics of Computation is the property of American Mathematical Society 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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1090/mcom/4178
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 4
        StartPage: 1569
    Subjects:
      – SubjectFull: Continued fractions
        Type: general
      – SubjectFull: Scholarly periodical corrections
        Type: general
      – SubjectFull: Refutation (Logic)
        Type: general
    Titles:
      – TitleFull: Corrigendum to ''A unifying theory for metrical results on regular continued fraction convergents and mediants''.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Dajani, Karma
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          Name:
            NameFull: Kraaikamp, Cor
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            NameFull: Sanderson, Slade
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          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
          Identifiers:
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              Value: 00255718
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              Value: 95
            – Type: issue
              Value: 359
          Titles:
            – TitleFull: Mathematics of Computation
              Type: main
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