Continued fractions for strong Engel series and Lüroth series with signs
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Publication:4999962
DOI10.4064/aa200529-26-11zbMath1480.11090arXiv2005.14590OpenAlexW3137063658MaRDI QIDQ4999962
Juan Luis Varona, Andrew N. W. Hone
Publication date: 5 July 2021
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.14590
Recurrences (11B37) Continued fractions and generalizations (11J70) Transcendence (general theory) (11J81)
Cites Work
- On the continued fraction expansion of certain Engel series
- Continued fractions for some transcendental numbers
- On approximation by Lüroth series
- Inverse polynomial expansions of Laurent series
- Simple continued fractions for some irrational numbers. II
- Folded continued fractions
- Simple continued fractions for some irrational numbers
- Inverse polynomial expansions of Laurent series. II
- Irrationality exponents of generalized Hone series
- Transformation formulas of finite sums into continued fractions
- Irrationality exponents of numbers related with Cahen's constant
- Continued fractions and irrationality exponents for modified Engel and Pierce series
- The continued fraction expansion of certain Pierce series
- Hankel Determinants, Padé Approximations, and Irrationality Exponents
- The efficiency of approximating real numbers by Lüroth expansion
- New bounds on the length of finite pierce and Engel series
- Lüroth-type alternating series representations for real numbers
- Arithmetic properties of certain functions in several variables III
- The many faces of the Kempner number
- Curious continued fractions, nonlinear recurrences and transcendental numbers
- Sur les fractions continues limitées
- Rational approximations to algebraic numbers
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