A Note on the Base-$p$ Expansions of Putative Counterexamples to the $p$-adic Littlewood Conjecture
Fuente:
arXiv
Saved in:
| Main Authors: | Blackman, John, Kristensen, Simon, Northey, Matthew J. |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Counterexamples to the $p(t)$-adic Littlewood Conjecture Over Small Finite Fields
by: Garrett, Samuel, et al.
Published: (2024)
by: Garrett, Samuel, et al.
Published: (2024)
On algebraic independence of three p-adic continued fractions
by: Ahallal, Sarra, et al.
Published: (2026)
by: Ahallal, Sarra, et al.
Published: (2026)
Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
by: Bugeaud, Yann, et al.
Published: (2025)
by: Bugeaud, Yann, et al.
Published: (2025)
On the $p$-adic transcendence of $\sum_{k=1}^\infty p^{-1/p^k}$
by: Wang, Shanwen, et al.
Published: (2025)
by: Wang, Shanwen, et al.
Published: (2025)
On the Exceptional Sets of $p$-adic Transcendental Analytic Functions
by: Miranda, Bruno De Paula, et al.
Published: (2024)
by: Miranda, Bruno De Paula, et al.
Published: (2024)
On the Minimal Denominator Problem in Function Fields
by: Aranov, Noy Soffer
Published: (2024)
by: Aranov, Noy Soffer
Published: (2024)
On the $P(t)$-adic Littlewood conjecture in odd characteristics
by: Lai, Li, et al.
Published: (2026)
by: Lai, Li, et al.
Published: (2026)
Minimal Denominators Lying in Subsets of the Ring of Polynomials over a Finite Field
by: Aranov, Noy Soffer
Published: (2025)
by: Aranov, Noy Soffer
Published: (2025)
$p$-adic equidistribution and an application to $S$-units
by: Schefer, Gerold
Published: (2024)
by: Schefer, Gerold
Published: (2024)
Directional $p$-Adic Littlewood Conjecture for Algebraic Vectors
by: Yifrach, Yuval
Published: (2025)
by: Yifrach, Yuval
Published: (2025)
Escape of Mass of the $p$-Cantor Sequence
by: Aranov, Noy Soffer, et al.
Published: (2025)
by: Aranov, Noy Soffer, et al.
Published: (2025)
On a Variant of Pillai's problem involving convergent denominators of quadratic irrationals
by: Mittal, Mohit
Published: (2025)
by: Mittal, Mohit
Published: (2025)
On the representation of an integer in Ostrowski and recurrence numeration systems
by: Mittal, Mohit, et al.
Published: (2024)
by: Mittal, Mohit, et al.
Published: (2024)
Thabit and Williams Numbers Base $b$ as a Sum or Difference of Two $g$-Repdigits
by: Adédji, Kouèssi Norbert, et al.
Published: (2025)
by: Adédji, Kouèssi Norbert, et al.
Published: (2025)
Estimating lower limit in the $p$-adic Littlewood conjecture
by: Badziahin, Dmitry
Published: (2025)
by: Badziahin, Dmitry
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)
Sums of Laurent series with bounded partial quotients
by: Gayfulin, Dmitry, et al.
Published: (2025)
by: Gayfulin, Dmitry, et al.
Published: (2025)
A note on general isolation result in Diophantine Approximation
by: Pitcyn, Sergei, et al.
Published: (2025)
by: Pitcyn, Sergei, et al.
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 discrete part of Dirichlet spectrum
by: Pitcyn, Sergei
Published: (2025)
by: Pitcyn, Sergei
Published: (2025)
Uniform Diophantine approximation on the Hecke group $\mathbf H_4$
by: Bakhtawar, Ayreena, et al.
Published: (2025)
by: Bakhtawar, Ayreena, et al.
Published: (2025)
Weak approximations, Diophantine exponents and two-dimensional lattices
by: Moshchevitin, Nikolay
Published: (2026)
by: Moshchevitin, Nikolay
Published: (2026)
If a machine did it, it is probably transcendental (even $p$-adically)
by: Capuano, Laura, et al.
Published: (2025)
by: Capuano, Laura, et al.
Published: (2025)
On generalized Thabit numbers $(p+1)p^\mathfrak{a}-1$ in the $k$-Lucas sequence
by: Batte, Herbert, et al.
Published: (2026)
by: Batte, Herbert, et al.
Published: (2026)
On the difference between perfect powers and integral $S$-units
by: Bugeaud, Yann
Published: (2026)
by: Bugeaud, Yann
Published: (2026)
On the difference between squares and integral $S$-units
by: Bugeaud, Yann
Published: (2025)
by: Bugeaud, Yann
Published: (2025)
A note on exact approximations
by: Gayfulin, Dmitry, et al.
Published: (2026)
by: Gayfulin, Dmitry, et al.
Published: (2026)
Heights and transcendence of $p$--adic continued fractions
by: Longhi, Ignazio, et al.
Published: (2023)
by: Longhi, Ignazio, et al.
Published: (2023)
Explicit separation of quadratic irrationals from the middle-third Cantor set
by: Gilson, Frank
Published: (2026)
by: Gilson, Frank
Published: (2026)
Some questions in Diophantine approximation: real and p-adics
by: Prasad, Dipendra
Published: (2025)
by: Prasad, Dipendra
Published: (2025)
Some Bounds Related to the $2$-adic Littlewood Conjecture
by: Vitorino, Dinis, et al.
Published: (2025)
by: Vitorino, Dinis, et al.
Published: (2025)
Multiple Legendre polynomials in Diophantine approximation
by: Marcovecchio, Raffaele
Published: (2025)
by: Marcovecchio, Raffaele
Published: (2025)
Infinite products with algebraic numbers
by: Kristensen, Simon, et al.
Published: (2025)
by: Kristensen, Simon, et al.
Published: (2025)
A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard
by: Hauke, Manuel
Published: (2025)
by: Hauke, Manuel
Published: (2025)
Narayana's cows numbers which are concatenations of three repdigits in base $ρ$
by: Tiebekabe, Pagdame, et al.
Published: (2023)
by: Tiebekabe, Pagdame, et al.
Published: (2023)
Palindromic concatenations of two distinct repdigits in Narayana's cows sequence
by: Ddamulira, Mahadi, et al.
Published: (2023)
by: Ddamulira, Mahadi, et al.
Published: (2023)
On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem
by: Daşdemir, Ahmet
Published: (2023)
by: Daşdemir, Ahmet
Published: (2023)
More on consecutive multiplicatively dependent triples of integers
by: Bennett, Michael A., et al.
Published: (2024)
by: Bennett, Michael A., et al.
Published: (2024)
Tribonacci-Lucas numbers that are palindromic concatenations of two distinct repdigits
by: Ddamulira, Mahadi
Published: (2025)
by: Ddamulira, Mahadi
Published: (2025)
Perrin numbers that are palindromic concatenations of two repdigits
by: Batte, Herbert, et al.
Published: (2024)
by: Batte, Herbert, et al.
Published: (2024)
Similar Items
-
Counterexamples to the $p(t)$-adic Littlewood Conjecture Over Small Finite Fields
by: Garrett, Samuel, et al.
Published: (2024) -
On algebraic independence of three p-adic continued fractions
by: Ahallal, Sarra, et al.
Published: (2026) -
Simultaneous multiplicative rational approximation to a real and a $p$-adic numbers
by: Bugeaud, Yann, et al.
Published: (2025) -
On the $p$-adic transcendence of $\sum_{k=1}^\infty p^{-1/p^k}$
by: Wang, Shanwen, et al.
Published: (2025) -
On the Exceptional Sets of $p$-adic Transcendental Analytic Functions
by: Miranda, Bruno De Paula, et al.
Published: (2024)