A unifying theory for metrical results on regular continued fraction convergents and mediants
Fuente:
arXiv
Saved in:
| Main Authors: | Dajani, Karma, Kraaikamp, Cor, Sanderson, Slade |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Inducing contractions of the mother of all continued fractions
by: Dajani, Karma, et al.
Published: (2025)
by: Dajani, Karma, et al.
Published: (2025)
Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025)
by: Sanderson, Slade
Published: (2025)
Sharpening Vahlen's result in Diophantine approximation
by: Bakhtawar, Ayreena, et al.
Published: (2025)
by: Bakhtawar, Ayreena, et al.
Published: (2025)
A strange continued fraction associated with the Romik map
by: Chen, Yufei, et al.
Published: (2026)
by: Chen, Yufei, et al.
Published: (2026)
A new class of $α$-Farey maps and an application to normal numbers
by: Dajani, Karma, et al.
Published: (2024)
by: Dajani, Karma, et al.
Published: (2024)
Weak convergence of the periodic multiplicative Selmer algorithm
by: Kops, J. Christopher
Published: (2008)
by: Kops, J. Christopher
Published: (2008)
Continued fraction expansions of complex numbers, Lagrange's theorem, and badly approximable numbers
by: Dani, S. G., et al.
Published: (2025)
by: Dani, S. G., et al.
Published: (2025)
On continued fraction maps associated with a submodule of $\mathfrak o(\sqrt{-3})$
by: Hitoshi, Nakada, et al.
Published: (2025)
by: Hitoshi, Nakada, et al.
Published: (2025)
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)
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)
Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)
by: Cheng, Wanjin, et al.
Published: (2025)
Regularity properties of the $α$-Wilton functions
by: Bakhtawar, Ayreena, et al.
Published: (2024)
by: Bakhtawar, Ayreena, et al.
Published: (2024)
Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)
by: Gravgaard, Maiken, et al.
Published: (2025)
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)
Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
by: Beresnevich, Victor, et al.
Published: (2024)
by: Beresnevich, Victor, et al.
Published: (2024)
A Weyl equidistribution theorem over function fields
by: Ackelsberg, Ethan
Published: (2025)
by: Ackelsberg, Ethan
Published: (2025)
Extreme value theorem for geodesic flow on the quotient of the theta group
by: Kim, Jaelin, et al.
Published: (2026)
by: Kim, Jaelin, et al.
Published: (2026)
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)
Periodicity of general multidimensional continued fractions using repetend matrix form
by: Řada, Hanka, et al.
Published: (2023)
by: Řada, Hanka, 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)
The unramified computation of a Shimura integral for $\mathrm{SL}(2)\times \mathrm{GL}(2)$
by: Yan, Pan
Published: (2022)
by: Yan, Pan
Published: (2022)
Ergodicity and Algebraticity of the Fast and Slow Triangle Maps
by: Garrity, Thomas, et al.
Published: (2024)
by: Garrity, Thomas, et al.
Published: (2024)
Reciprocity obstructions in semigroup orbits in SL(2, Z)
by: Rickards, James, et al.
Published: (2024)
by: Rickards, James, et al.
Published: (2024)
Periodic points in complex continued fractions by J. Hurwitz
by: Yasutomi, Shin-ichi
Published: (2024)
by: Yasutomi, Shin-ichi
Published: (2024)
On the rate of convergence of continued fraction statistics of random rationals
by: David, Ofir, et al.
Published: (2024)
by: David, Ofir, et al.
Published: (2024)
Sárközy's theorem in $\mathbf{F}_2[x]$
by: Kowalska, Aleksandra
Published: (2025)
by: Kowalska, Aleksandra
Published: (2025)
The metric theory of small gaps for a sequence of real numbers
by: Mahajan, Jewel
Published: (2025)
by: Mahajan, Jewel
Published: (2025)
A note on polynomial equidistribution and recurrence in finite characteristic
by: Ackelsberg, Ethan, et al.
Published: (2026)
by: Ackelsberg, Ethan, et al.
Published: (2026)
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)
$L$-functions for $\mathrm{Sp}(2n)\times\mathrm{GL}(k)$ via non-unique models
by: Jin, Yubo, et al.
Published: (2023)
by: Jin, Yubo, et al.
Published: (2023)
$L$-function for $\mathrm{Sp}(4)\times\mathrm{GL}(2)$ via a non-unique model
by: Yan, Pan
Published: (2021)
by: Yan, Pan
Published: (2021)
Doubling constructions: Global functoriality for non-generic cuspidal representations
by: Cai, Yuanqing, et al.
Published: (2018)
by: Cai, Yuanqing, et al.
Published: (2018)
On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers
by: Carofiglio, Leonardo, et al.
Published: (2025)
by: Carofiglio, Leonardo, et al.
Published: (2025)
Rational points near manifolds and Khintchine theorem
by: Beresnevich, Victor, et al.
Published: (2025)
by: Beresnevich, Victor, et al.
Published: (2025)
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)
Complex continued fractions, Kleinian and extremal theory for cusp excursions
by: Baumgartner, Alexander, et al.
Published: (2024)
by: Baumgartner, Alexander, et al.
Published: (2024)
Proofs of ergodicity of piecewise Möbius interval maps using planar extensions
by: Calta, Kariane, et al.
Published: (2022)
by: Calta, Kariane, et al.
Published: (2022)
On restricted averages of Dedekind sums
by: Minelli, Paolo, et al.
Published: (2023)
by: Minelli, Paolo, et al.
Published: (2023)
The Prime times of twisted Diophantine approximation
by: Hauke, Manuel
Published: (2026)
by: Hauke, Manuel
Published: (2026)
Elementary Proof of the Completeness of OEIS A051221 Below 2000
by: Azuma, Seiichi
Published: (2025)
by: Azuma, Seiichi
Published: (2025)
Similar Items
-
Inducing contractions of the mother of all continued fractions
by: Dajani, Karma, et al.
Published: (2025) -
Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025) -
Sharpening Vahlen's result in Diophantine approximation
by: Bakhtawar, Ayreena, et al.
Published: (2025) -
A strange continued fraction associated with the Romik map
by: Chen, Yufei, et al.
Published: (2026) -
A new class of $α$-Farey maps and an application to normal numbers
by: Dajani, Karma, et al.
Published: (2024)