Cover Image

Real convergence and periodicity of $p$-adic continued fractions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Romeo, Giuliano
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11J70, 11D88, 11Y65, 12J25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The arithmetic of continued fractions in the field of $p$-adic numbers
by: Romeo, Giuliano, et al.
Published: (2025)

p-Adically convergent loci in varieties arising from periodic continued fractions
by: Capuano, Laura, et al.
Published: (2024)

On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields
by: Capuano, Laura, et al.
Published: (2021)

On $\mathfrak{P}$-adic continued fractions with extraneous denominators: some explicit finiteness results
by: Capuano, Laura, et al.
Published: (2023)

An effective criterion for periodicity of l-adic continued fractions
by: Capuano, Laura, et al.
Published: (2018)

Transcendence criteria for multidimensional continued fractions
by: Accossato, Federico, et al.
Published: (2025)

On the arithmetic of multidimensional continued fractions
by: Miska, Piotr, et al.
Published: (2025)

Periodic points in complex continued fractions by J. Hurwitz
by: Yasutomi, Shin-ichi
Published: (2024)

If a machine did it, it is probably transcendental (even $p$-adically)
by: Capuano, Laura, et al.
Published: (2025)

Irrational Acceleration of a Continued Fraction of $π$
by: Stachowiak, Tomasz
Published: (2024)

On the $p$-adic transcendence of $\sum_{k=1}^\infty p^{-1/p^k}$
by: Wang, Shanwen, et al.
Published: (2025)

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

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

p-adic Welch Bounds and p-adic Zauner Conjecture
by: Krishna, K. Mahesh
Published: (2022)

A multivariate Strassmann theorem
by: Lido, Guido Maria, et al.
Published: (2026)

On continued fraction maps associated with a submodule of $\mathfrak o(\sqrt{-3})$
by: Hitoshi, Nakada, et al.
Published: (2025)

p-adic Equiangular Lines and p-adic van Lint-Seidel Relative Bound
by: Krishna, K. Mahesh
Published: (2024)

p-adic Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein-Pfender Bound
by: Krishna, K. Mahesh
Published: (2025)

On the approximation gain for abc-triples
by: de Weger, Benne
Published: (2026)

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

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

On a two-valued infinite sequence and a related continued fraction in Q((T^-1))
by: Lasjaunias, Alain
Published: (2024)

p-adic Ghobber-Jaming Uncertainty Principle
by: Krishna, K. Mahesh
Published: (2025)

Continued fractions of cubic Laurent series
by: Badziahin, Dmitry
Published: (2022)

Weak convergence of the periodic multiplicative Selmer algorithm
by: Kops, J. Christopher
Published: (2008)

Periodicity of general multidimensional continued fractions using repetend matrix form
by: Řada, Hanka, et al.
Published: (2023)

On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
by: Choudhuri, Manoj, et al.
Published: (2024)

New examples of $M\setminus L$: intruder sets
by: Erazo, Harold
Published: (2025)

Kronecker's and Newton's approaches to solving: A first comparison
by: Castro, D., et al.
Published: (1999)

On a family of continued fractions in $Q((T^1))$ associated to infinite binary words derived from the Thue-Morse sequence
by: Allombert, Bill, et al.
Published: (2025)

The first and second moment for the length of the period of the continued fraction expansion for $\sqrt{d}$
by: Battistoni, Francesco, et al.
Published: (2024)

Uniform Diophantine approximation on the Hecke group $\mathbf H_4$
by: Bakhtawar, Ayreena, et al.
Published: (2025)

Weak approximations, Diophantine exponents and two-dimensional lattices
by: Moshchevitin, Nikolay
Published: (2026)

The denominators of harmonic numbers (Revised)
by: Shiu, Peter
Published: (2016)

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)

Uniqueness theorem of generalized Markov numbers that are prime powers
by: Gyoda, Yasuaki, et al.
Published: (2023)

Diophantine approximation by rational numbers of certain parity types
by: Kim, Dong Han, et al.
Published: (2024)

On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers
by: Dwivedi, Ritesh, et al.
Published: (2025)

On the $abc$ and the $abcd$ conjectures
by: Pasten, Hector, et al.
Published: (2024)

Computation of the Totient Summatory Function
by: Brown, Lucas Augustus
Published: (2025)