On the $b$-ary expansion of a real number whose irrationality exponent is close to 2
Fuente:
arXiv
Saved in:
| Main Authors: | Bugeaud, Yann, Kim, Dong Han |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the irrationality exponent of real numbers with low complexity expansion
by: Bugeaud, Yann, et al.
Published: (2025)
by: Bugeaud, Yann, et al.
Published: (2025)
Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents
by: Peltomäki, Jarkko
Published: (2021)
by: Peltomäki, Jarkko
Published: (2021)
Effective approximation to complex algebraic numbers by quadratic numbers
by: Bajpai, Prajeet, et al.
Published: (2024)
by: Bajpai, Prajeet, et al.
Published: (2024)
Alternating geometric progressions modulo one and Sturmian words
by: Lu, Qing, et al.
Published: (2026)
by: Lu, Qing, et al.
Published: (2026)
Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
by: Bugeaud, Yann, et al.
Published: (2025)
by: Bugeaud, Yann, et al.
Published: (2025)
Ellipsephic harmonic series revisited
by: Allouche, Jean-Paul, et al.
Published: (2024)
by: Allouche, Jean-Paul, et al.
Published: (2024)
Optimal Representations of Gaussian and Eisenstein Integers using digit sets closed under multiplication
by: Blažek, Adam, et al.
Published: (2024)
by: Blažek, Adam, et al.
Published: (2024)
Abelian-normal decimal expansions
by: Campbell, John M.
Published: (2026)
by: Campbell, John M.
Published: (2026)
Topology of univoque sets in double-base expansions
by: Komornik, Vilmos, et al.
Published: (2025)
by: Komornik, Vilmos, et al.
Published: (2025)
The orbit of a $β$-transformation cannot lie in a small interval
by: Kwon, DoYong
Published: (2025)
by: Kwon, DoYong
Published: (2025)
An analogue of Solomyak's theorem for periodic Cantor real expansions in alternate bases
by: Caalim, Jonathan, et al.
Published: (2025)
by: Caalim, Jonathan, et al.
Published: (2025)
Summing the sum of digits
by: Allouche, Jean-Paul, et al.
Published: (2023)
by: Allouche, Jean-Paul, et al.
Published: (2023)
Remarks on uniform recurrence properties for beta-transformation
by: Bugeaud, Yann
Published: (2025)
by: Bugeaud, Yann
Published: (2025)
Transcendence and measures via the refined Diophantine exponent
by: Nguyen, Quang-Khai
Published: (2026)
by: Nguyen, Quang-Khai
Published: (2026)
On very badly approximable numbers
by: Cao, Zhe, et al.
Published: (2026)
by: Cao, Zhe, et al.
Published: (2026)
Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree
by: Bajpai, Prajeet, et al.
Published: (2023)
by: Bajpai, Prajeet, et al.
Published: (2023)
Kempner-like harmonic series
by: Allouche, Jean-Paul, et al.
Published: (2023)
by: Allouche, Jean-Paul, et al.
Published: (2023)
Computing Expansions in Infinitely Many Cantor Real Bases via a Single Transducer
by: Charlier, Émilie, et al.
Published: (2025)
by: Charlier, Émilie, et al.
Published: (2025)
The Thue-Morse Transform
by: Cloitre, Benoit
Published: (2026)
by: Cloitre, Benoit
Published: (2026)
Beukers-like proofs of irrationality for $ζ{(2)}$ and $ζ{(3)}$
by: Lima, F. M. S.
Published: (2013)
by: Lima, F. M. S.
Published: (2013)
On the representation of an integer in Ostrowski and recurrence numeration systems
by: Mittal, Mohit, et al.
Published: (2024)
by: Mittal, Mohit, et al.
Published: (2024)
On Wirsing's problem in small exact degree
by: Schleischitz, Johannes
Published: (2021)
by: Schleischitz, Johannes
Published: (2021)
On the monogenity of pure number fields: application to the existence of canonical number systems
by: Yakkou, Hamid Ben, et al.
Published: (2024)
by: Yakkou, Hamid Ben, et al.
Published: (2024)
Rotational beta expansions and Schmidt games
by: Kaneko, Hajime, et al.
Published: (2025)
by: Kaneko, Hajime, et al.
Published: (2025)
Asymptotic Analysis of q-Recursive Sequences
by: Heuberger, Clemens, et al.
Published: (2021)
by: Heuberger, Clemens, et al.
Published: (2021)
Balanced rectangles over Sturmian words and minimal discrepancy intervals
by: Vukusic, Ingrid
Published: (2026)
by: Vukusic, Ingrid
Published: (2026)
On two uniform exponents of approximation related to Wirsing's problem
by: Schleischitz, Johannes
Published: (2023)
by: Schleischitz, Johannes
Published: (2023)
Unique double base expansions
by: Komornik, Vilmos, et al.
Published: (2022)
by: Komornik, Vilmos, et al.
Published: (2022)
Sharp bounds on the number of squares in recurrence sequences and solutions of $X^{2}-\left( a^{2}+b \right) Y^{4}=-b$
by: Voutier, Paul M
Published: (2018)
by: Voutier, Paul M
Published: (2018)
Fractional parts of powers of negative rationals
by: Lu, Qing, et al.
Published: (2026)
by: Lu, Qing, et al.
Published: (2026)
On the Digits of Partition Functions
by: Iyer, Siddharth
Published: (2026)
by: Iyer, Siddharth
Published: (2026)
If a machine did it, it is probably transcendental (even $p$-adically)
by: Capuano, Laura, et al.
Published: (2025)
by: Capuano, Laura, et al.
Published: (2025)
A Division Algorithm for the Gaussian Integers' Minimal Euclidean Function
by: Graves, Hester
Published: (2025)
by: Graves, Hester
Published: (2025)
On approximation to a real number by algebraic numbers of bounded degree
by: Poëls, Anthony
Published: (2024)
by: Poëls, Anthony
Published: (2024)
$q$-analogs of rational numbers: from Ostrowski numeration systems to perfect matchings
by: Aval, Jean-Christophe, et al.
Published: (2025)
by: Aval, Jean-Christophe, et al.
Published: (2025)
A Normality Conjecture on Rational Base Number Systems
by: Andrieu, Mélodie, et al.
Published: (2025)
by: Andrieu, Mélodie, et al.
Published: (2025)
On finite $β$-expansions for the set of natural numbers
by: Carvalho, Túlio O., et al.
Published: (2025)
by: Carvalho, Túlio O., et al.
Published: (2025)
On a Theorem of Legendre on Diophantine Approximation
by: Hančl, Jaroslav, et al.
Published: (2024)
by: Hančl, Jaroslav, et al.
Published: (2024)
On a Theorem of Nathanson on Diophantine Approximation
by: Hančl, Jaroslav, et al.
Published: (2024)
by: Hančl, Jaroslav, et al.
Published: (2024)
Gaussian rational numbers in Cantor sets in the complex plane
by: Wu, Yu-Feng
Published: (2025)
by: Wu, Yu-Feng
Published: (2025)
Similar Items
-
On the irrationality exponent of real numbers with low complexity expansion
by: Bugeaud, Yann, et al.
Published: (2025) -
Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents
by: Peltomäki, Jarkko
Published: (2021) -
Effective approximation to complex algebraic numbers by quadratic numbers
by: Bajpai, Prajeet, et al.
Published: (2024) -
Alternating geometric progressions modulo one and Sturmian words
by: Lu, Qing, et al.
Published: (2026) -
Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
by: Bugeaud, Yann, et al.
Published: (2025)