An illustrated introduction to the arithmetic of Apollonian circle packings, continued fractions, and other thin orbits
Fuente:
arXiv
Saved in:
| Main Author: | Stange, Katherine E. |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The local-global conjecture for Apollonian circle packings is false
by: Haag, Summer, et al.
Published: (2023)
by: Haag, Summer, et al.
Published: (2023)
The arithmetic of simplices
by: Mieczkowski, Edward
Published: (2012)
by: Mieczkowski, Edward
Published: (2012)
Reciprocity obstructions in semigroup orbits in SL(2, Z)
by: Rickards, James, et al.
Published: (2024)
by: Rickards, James, et al.
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)
The Linear Slicing Method for Equal Sums of Like Powers: Modular and Geometric Constraints
by: Asiryan, Valery
Published: (2025)
by: Asiryan, Valery
Published: (2025)
Periodic points in complex continued fractions by J. Hurwitz
by: Yasutomi, Shin-ichi
Published: (2024)
by: Yasutomi, Shin-ichi
Published: (2024)
Some Diophantine equations involving arithmetic functions and Bhargava factorials
by: Baczkowski, Daniel M., et al.
Published: (2024)
by: Baczkowski, Daniel M., et al.
Published: (2024)
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)
Legendre duality for certain summations over the Farey pairs
by: Kalinin, Nikita
Published: (2024)
by: Kalinin, Nikita
Published: (2024)
On Proving Ramanujan's Inequality using a Sharper Bound for the Prime Counting Function $π(x)$
by: De, Subham
Published: (2024)
by: De, Subham
Published: (2024)
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)
Prime and thickened prime components in Apollonian circle packings
by: Friedlander, Holley, et al.
Published: (2024)
by: Friedlander, Holley, et al.
Published: (2024)
Zaremba's Conjecture for Geometric Sequences: An Algorithm
by: Dubno, Elias
Published: (2023)
by: Dubno, Elias
Published: (2023)
Local, 2-local derivations and biderivations on 3-parameter generalized quaternion
by: Oubba, Hassan
Published: (2025)
by: Oubba, Hassan
Published: (2025)
Diophantine equations involving powers of factorials
by: Novaković, Saša
Published: (2025)
by: Novaković, Saša
Published: (2025)
Diophantine equations involving double factorials
by: Novaković, Saša
Published: (2025)
by: Novaković, Saša
Published: (2025)
Ergodicity and Algebraticity of the Fast and Slow Triangle Maps
by: Garrity, Thomas, et al.
Published: (2024)
by: Garrity, Thomas, et al.
Published: (2024)
Eisenstein circle packings and the Eisenpint Schmidt arrangement
by: Rickards, James, et al.
Published: (2026)
by: Rickards, James, et al.
Published: (2026)
Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)
by: Gravgaard, Maiken, et al.
Published: (2025)
Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
by: Beresnevich, Victor, et al.
Published: (2024)
by: Beresnevich, Victor, et al.
Published: (2024)
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)
Weak convergence of the periodic multiplicative Selmer algorithm
by: Kops, J. Christopher
Published: (2008)
by: Kops, J. Christopher
Published: (2008)
On transcendence of non-periodic continued fractions associated with modular forms and arithmetic functions
by: Chatterjee, Tapas, et al.
Published: (2026)
by: Chatterjee, Tapas, et al.
Published: (2026)
A note concerning frames and geometric inequalities
by: Ledford, Jeff, et al.
Published: (2025)
by: Ledford, Jeff, 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)
Rational points near curves and small nonzero |x^3-y^2| via lattice reduction
by: Elkies, Noam D.
Published: (2000)
by: Elkies, Noam D.
Published: (2000)
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)
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)
The Local-Global Conjecture is False for Generalized Circle Packings
by: Shi, Hanqi, et al.
Published: (2025)
by: Shi, Hanqi, et al.
Published: (2025)
An extension of the Erdős-Turán additive base conjecture via generalized circles of partition
by: Agama, Theophilus
Published: (2017)
by: Agama, Theophilus
Published: (2017)
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)
The summatory function of the Möbius function involving the greatest common divisor
by: Kiuchi, Isao, et al.
Published: (2024)
by: Kiuchi, Isao, et al.
Published: (2024)
On the approximation gain for abc-triples
by: de Weger, Benne
Published: (2026)
by: de Weger, Benne
Published: (2026)
Rational approximation with digit-restricted denominators
by: Iyer, Siddharth
Published: (2023)
by: Iyer, Siddharth
Published: (2023)
Exact Formulas for Coprime Representations of Even Integers Avoiding a Prime
by: Salazar, Andres M.
Published: (2026)
by: Salazar, Andres M.
Published: (2026)
Increasing-decreasing patterns in the iteration of an arithmetic function
by: Nathanson, Melvyn B.
Published: (2022)
by: Nathanson, Melvyn B.
Published: (2022)
Exact and Asymptotic Counts of MSTD, MDTS, and Balanced Sets in Dicyclic Groups
by: Mandal, Sagar, et al.
Published: (2026)
by: Mandal, Sagar, et al.
Published: (2026)
$M$-functions and screw functions originating from Goldbach's problem and zeros of the Riemann zeta function
by: Matsumoto, Kohji, et al.
Published: (2024)
by: Matsumoto, Kohji, et al.
Published: (2024)
Six-dimensional sphere packing and linear programming
by: de Courcy-Ireland, Matthew, et al.
Published: (2022)
by: de Courcy-Ireland, Matthew, et al.
Published: (2022)
Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of $\prod_{i=1}^k\operatorname{SL}_2(\mathbb R)$
by: Zheng, Cheng
Published: (2024)
by: Zheng, Cheng
Published: (2024)
Similar Items
-
The local-global conjecture for Apollonian circle packings is false
by: Haag, Summer, et al.
Published: (2023) -
The arithmetic of simplices
by: Mieczkowski, Edward
Published: (2012) -
Reciprocity obstructions in semigroup orbits in SL(2, Z)
by: Rickards, James, et al.
Published: (2024) -
Periodicity of general multidimensional continued fractions using repetend matrix form
by: Řada, Hanka, et al.
Published: (2023) -
The Linear Slicing Method for Equal Sums of Like Powers: Modular and Geometric Constraints
by: Asiryan, Valery
Published: (2025)