Some arithmetical properties of convergents to algebraic numbers
From MaRDI portal
Publication:6182830
DOI10.2140/pjm.2023.326.17arXiv2209.07485OpenAlexW4389790696MaRDI QIDQ6182830
No author found.
Publication date: 21 December 2023
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.07485
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the period of the continued fraction expansion of \(\sqrt{2^{2n+1}+1}\)
- On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
- On the length of the continued fraction for values of quotients of power sums
- Perfect powers in second order linear recurrences
- Palindromic continued fractions
- On the complexity of algebraic numbers. II: Continued fractions
- On Prime Factors of Terms of Linear Recurrence Sequences
- Algebraic approximations to linear combinations of powers: An extension of results by Mahler and Corvaja–Zannier
- Continued Fractions and Linear Recurrences
- On the period of the continued fraction for values of the square root of power sums
- On the representation of an integer in two different bases.
- On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
- Applications of Diophantine Approximation to Integral Points and Transcendence
- On the Zeckendorf representation of smooth numbers
- Automatic continued fractions are transcendental or quadratic
- On the Maillet-Baker continued fractions
- Some Arithmetical Properties of the Convergents of a Continued Fraction
- Rational approximations to algebraic numbers
- Approximation of values of algebraic elements over the ring of power sums