Continued fraction expansions of complex numbers, Lagrange's theorem, and badly approximable numbers
Fuente:
arXiv
Saved in:
| Main Authors: | Dani, S. G., Sahasrabudhe, Ojas |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)
by: Gravgaard, Maiken, et al.
Published: (2025)
Continued fractions for $q$-deformed real numbers, $\{-1,0,1\}$-Hankel determinants, and Somos-Gale-Robinson sequences
by: Ovsienko, Valentin, et al.
Published: (2023)
by: Ovsienko, Valentin, et al.
Published: (2023)
Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers
by: Han, Guo-Niu, et al.
Published: (2025)
by: Han, Guo-Niu, et al.
Published: (2025)
A unifying theory for metrical results on regular continued fraction convergents and mediants
by: Dajani, Karma, et al.
Published: (2023)
by: Dajani, Karma, et al.
Published: (2023)
On some periodic continued fractions along the $\mathbb{Z}_2$ extension over $\mathbb{Q}$
by: Kanamura, Yoshinori, et al.
Published: (2025)
by: Kanamura, Yoshinori, et al.
Published: (2025)
Reciprocity obstructions in semigroup orbits in SL(2, Z)
by: Rickards, James, et al.
Published: (2024)
by: Rickards, James, et al.
Published: (2024)
The Newton approximation, the Hurwitz continued fraction, and the Sierpinski series for relatively quadratic units over certain imaginary quadratic number fields
by: Saito, Asaki, et al.
Published: (2025)
by: Saito, Asaki, et al.
Published: (2025)
On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers
by: Carofiglio, Leonardo, et al.
Published: (2025)
by: Carofiglio, Leonardo, et al.
Published: (2025)
Periodic points in complex continued fractions by J. Hurwitz
by: Yasutomi, Shin-ichi
Published: (2024)
by: Yasutomi, Shin-ichi
Published: (2024)
Periodicity of general multidimensional continued fractions using repetend matrix form
by: Řada, Hanka, et al.
Published: (2023)
by: Řada, Hanka, et al.
Published: (2023)
Sárközy's theorem in $\mathbf{F}_2[x]$
by: Kowalska, Aleksandra
Published: (2025)
by: Kowalska, Aleksandra
Published: (2025)
New portions of $M\setminus L$ and a lower bound on the Hausdorff distance between $L$ and $M$
by: Rieutord, Clément, et al.
Published: (2024)
by: Rieutord, Clément, et al.
Published: (2024)
A concise geometric proof of the three distance theorem
by: Hamada, Tadahisa
Published: (2023)
by: Hamada, Tadahisa
Published: (2023)
Transcendence and normality of complex numbers via Hurwitz continued fractions
by: García-Ramos, Felipe, et al.
Published: (2023)
by: García-Ramos, Felipe, et al.
Published: (2023)
On very badly approximable numbers
by: Cao, Zhe, et al.
Published: (2026)
by: Cao, Zhe, et al.
Published: (2026)
On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
by: Choudhuri, Manoj, et al.
Published: (2024)
by: Choudhuri, Manoj, et al.
Published: (2024)
On approximation to a real number by algebraic numbers of bounded degree
by: Poëls, Anthony
Published: (2024)
by: Poëls, Anthony
Published: (2024)
Zaremba's Conjecture for Geometric Sequences: An Algorithm
by: Dubno, Elias
Published: (2023)
by: Dubno, Elias
Published: (2023)
On a two-valued infinite sequence and a related continued fraction in Q((T^-1))
by: Lasjaunias, Alain
Published: (2024)
by: Lasjaunias, Alain
Published: (2024)
Equidistribution of polynomial sequences in function fields: resolution of a conjecture
by: Champagne, Jérémy, et al.
Published: (2025)
by: Champagne, Jérémy, et al.
Published: (2025)
Abelian number fields with frobenian conditions
by: Tavernier, Julie
Published: (2024)
by: Tavernier, Julie
Published: (2024)
Computation of the Totient Summatory Function
by: Brown, Lucas Augustus
Published: (2025)
by: Brown, Lucas Augustus
Published: (2025)
On simultaneous approximation to a real number, its square, and its cube, II
by: Roy, Damien
Published: (2024)
by: Roy, Damien
Published: (2024)
Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)
by: Bernardini, Riccardo
Published: (2025)
Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025)
by: Sanderson, Slade
Published: (2025)
Extremal numbers and multi-parametric geometry of numbers
by: Roy, Damien
Published: (2026)
by: Roy, Damien
Published: (2026)
Counting numbers that are divisible by the product of their digits
by: He, Qizheng, et al.
Published: (2024)
by: He, Qizheng, et al.
Published: (2024)
Weak convergence of the periodic multiplicative Selmer algorithm
by: Kops, J. Christopher
Published: (2008)
by: Kops, J. Christopher
Published: (2008)
Automorphic density estimates and optimal Diophantine exponents
by: Fraczyk, Mikolaj, et al.
Published: (2024)
by: Fraczyk, Mikolaj, et al.
Published: (2024)
A Study of Second-Order Linear Recurrence Sequences via Continuants
by: Chua, Hongshen
Published: (2025)
by: Chua, Hongshen
Published: (2025)
A Weyl equidistribution theorem over function fields
by: Ackelsberg, Ethan
Published: (2025)
by: Ackelsberg, Ethan
Published: (2025)
Diophantine approximation by rational numbers of certain parity types
by: Kim, Dong Han, et al.
Published: (2024)
by: Kim, Dong Han, et al.
Published: (2024)
On a theorem of Kanold on odd perfect numbers
by: Yamada, Tomohiro
Published: (2023)
by: Yamada, Tomohiro
Published: (2023)
Schubert Eisenstein series and Poisson summation for Schubert varieties
by: Choie, YoungJu, et al.
Published: (2021)
by: Choie, YoungJu, et al.
Published: (2021)
Asymptotics of Schwartz functions
by: Hsu, Chun-Hsien
Published: (2021)
by: Hsu, Chun-Hsien
Published: (2021)
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set
by: Erazo, Harold, et al.
Published: (2024)
by: Erazo, Harold, et al.
Published: (2024)
Measure theoretic properties of large products of consecutive partial quotients
by: Brown-Sarre, Adam, et al.
Published: (2024)
by: Brown-Sarre, Adam, et al.
Published: (2024)
Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers
by: Tan, Bo, et al.
Published: (2024)
by: Tan, Bo, et al.
Published: (2024)
Algebraic numbers and Fourier analysis: Salem's third problem
by: Nguyen, Khoa D.
Published: (2026)
by: Nguyen, Khoa D.
Published: (2026)
Inducing Whittaker Functions from Higher Ranks
by: Muthuvel, Vishal
Published: (2026)
by: Muthuvel, Vishal
Published: (2026)
Similar Items
-
Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025) -
Continued fractions for $q$-deformed real numbers, $\{-1,0,1\}$-Hankel determinants, and Somos-Gale-Robinson sequences
by: Ovsienko, Valentin, et al.
Published: (2023) -
Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers
by: Han, Guo-Niu, et al.
Published: (2025) -
A unifying theory for metrical results on regular continued fraction convergents and mediants
by: Dajani, Karma, et al.
Published: (2023) -
On some periodic continued fractions along the $\mathbb{Z}_2$ extension over $\mathbb{Q}$
by: Kanamura, Yoshinori, et al.
Published: (2025)