Cover Image

On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Choudhuri, Manoj, Makadiya, Prashant J.
Format:	Preprint
Published:	2024
Subjects:	Number Theory Primary: $11$J$70$, $11$J$83$, Secondary: $11$J$61$, $37$A$44$
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Khintchine-type theorems for weighted uniform inhomogeneous approximations via transference principle
by: Neckrasov, Vasiliy
Published: (2025)

On algebraic independence of three p-adic continued fractions
by: Ahallal, Sarra, et al.
Published: (2026)

Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025)

Exact Approximation In The Field Of Formal Series
by: Pandey, Aratrika
Published: (2025)

Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)

Metric theory of inhomogeneous Diophantine approximations with a fixed matrix
by: Moshchevitin, Nikolay, et al.
Published: (2025)

On the rate of convergence of continued fraction statistics of random rationals
by: David, Ofir, et al.
Published: (2024)

On Multiplicatively Badly Approximable Vectors
by: Fregoli, Reynold, et al.
Published: (2022)

$S$-units and period length of continued fractions of linear recursions
by: Kumar, Veekesh, et al.
Published: (2025)

Automorphic density estimates and optimal Diophantine exponents
by: Fraczyk, Mikolaj, 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)

A unifying theory for metrical results on regular continued fraction convergents and mediants
by: Dajani, Karma, et al.
Published: (2023)

$p$-adic equidistribution and an application to $S$-units
by: Schefer, Gerold
Published: (2024)

Inhomogeneous Diophantine Approximation on $M_0$-sets
by: Pavlenkov, Volodymyr, et al.
Published: (2024)

The metric theory of small gaps for a sequence of real numbers
by: Mahajan, Jewel
Published: (2025)

Dirichlet improvability in $L_p$-norms
by: Moshchevitin, Nikolay, et al.
Published: (2024)

Diophantine transference principle over function fields
by: Das, Sourav, et al.
Published: (2023)

Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
by: Das, Sourav, et al.
Published: (2022)

Distribution of $θ-$powers and their sums
by: Iyer, Siddharth
Published: (2025)

A concise geometric proof of the three distance theorem
by: Hamada, Tadahisa
Published: (2023)

The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation
by: Frühwirth, Lorenz, et al.
Published: (2024)

Ratios of two powers of van der Laan-Padovan numbers
by: Yamada, Tomohiro
Published: (2025)

Heights and transcendence of $p$--adic continued fractions
by: Longhi, Ignazio, et al.
Published: (2023)

Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers
by: Han, Guo-Niu, et al.
Published: (2025)

Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)

Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
by: Beresnevich, Victor, et al.
Published: (2024)

Continued fraction expansions of complex numbers, Lagrange's theorem, and badly approximable numbers
by: Dani, S. G., et al.
Published: (2025)

Escape of Mass of the $p$-Cantor Sequence
by: Aranov, Noy Soffer, et al.
Published: (2025)

The quotient problem for linear recurrence sequences
by: Nair, Parvathi S, et al.
Published: (2026)

Sequences of integers generated by two fixed primes
by: Languasco, Alessandro, et al.
Published: (2023)

On a tree of rational functions related to continued fractions
by: Langeveld, Niels, et al.
Published: (2025)

Multiplicative generalised polynomial sequences
by: Konieczny, Jakub
Published: (2024)

Twisted approximation with restricted denominators
by: Hauke, Manuel, et al.
Published: (2025)

Remarks on sums of reciprocals of fractional parts
by: Borda, Bence
Published: (2023)

On non-holonomicity, transcendence and $p$-adic valuations
by: Cobeli, Cristian, et al.
Published: (2024)

A shrinking target problem in homogeneous spaces of semisimple algebraic groups
by: Zheng, Cheng
Published: (2023)

Linear independence of continued fractions with algebraic terms
by: Hančl, Jaroslav, et al.
Published: (2024)

On refinements of two-term Machin-like formulas
by: Farhi, Bakir
Published: (2026)

Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
by: Bugeaud, Yann, et al.
Published: (2025)

Balancing and Lucas-balancing numbers as difference of two repdigits
by: Mohapatra, Monalisa, et al.
Published: (2024)