| Title: |
Corrigendum to ''A unifying theory for metrical results on regular continued fraction convergents and mediants''. |
| Authors: |
Dajani, Karma; Kraaikamp, Cor; Sanderson, Slade |
| Source: |
Mathematics of Computation; May2026, Vol. 95 Issue 359, p1569-1572, 4p |
| Subject Terms: |
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] |
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| Database: |
Complementary Index |