On transcendental regular continued fractions

DOI10.1515/ms-2023-0101OpenAlexW4389894288MaRDI QIDQ6180424

Gülcan Kekeç

Publication date: 19 January 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0101

zbMATH Keywords

regular continued fraction\(T\)-number\(S\)-numberMahler's classification of real transcendental numbers

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Measures of irrationality and of transcendence (11J82)

Cites Work

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• On Mahler's classification of formal power series over a finite field
• On Mahler's classification of transcendental numbers
• On power series and Mahler's U-numbers.
• On U m -Numbers
• p-adic T-numbers do exist
• ON MAHLER’S CLASSIFICATION OF -ADIC NUMBERS
• On Mahler’s p-adic S-, T -, and U-numbers
• ON TRANSCENDENTAL CONTINUED FRACTIONS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS
• MAHLER’S AND KOKSMA’S CLASSIFICATIONS IN FIELDS OF POWER SERIES
• On Mahler s Sinumbers, Tinumbers, and Uinumbers
• -NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS
• The existence of $T$-numbers in positive characteristic
• On Mahler's U -Numbers
• Rational approximations to algebraic numbers

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