Sums of S-units in X-coordinates of Pell equations
Fuente:
arXiv
Saved in:
| Main Authors: | Nair, Parvathi S, Rout, Sudhansu Sekhar |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The quotient problem for linear recurrence sequences
by: Nair, Parvathi S, et al.
Published: (2026)
by: Nair, Parvathi S, et al.
Published: (2026)
The extensibility of the Diophantine triple $\{2, b, c\}$
by: Adžaga, Nikola, et al.
Published: (2026)
by: Adžaga, Nikola, et al.
Published: (2026)
Sum of terms of recurrence sequences in the solution sets of generalized Pell equations
by: Bhoi, Pritam Kumar, et al.
Published: (2024)
by: Bhoi, Pritam Kumar, et al.
Published: (2024)
Solving Skolem problem for negative indexed $k-$generalized Pell numbers
by: Mohapatra, Monalisa, et al.
Published: (2025)
by: Mohapatra, Monalisa, et al.
Published: (2025)
Algebraic approximations to linear combinations of S-units
by: Nair, Parvathi S, et al.
Published: (2025)
by: Nair, Parvathi S, et al.
Published: (2025)
Zeros and $S$-units in sums of terms of recurrence sequences in function fields
by: N, Darsana, et al.
Published: (2024)
by: N, Darsana, et al.
Published: (2024)
Balancing and Lucas-balancing numbers as difference of two repdigits
by: Mohapatra, Monalisa, et al.
Published: (2024)
by: Mohapatra, Monalisa, et al.
Published: (2024)
Power Products in Elliptic Divisibility Sequences and Prime-Incidence Obstructions
by: Kym, Dongyeon
Published: (2026)
by: Kym, Dongyeon
Published: (2026)
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)
Sum of terms of recurrence sequences and $S$-units in the solution sets of norm form equations
by: N, Darsana, et al.
Published: (2024)
by: N, Darsana, et al.
Published: (2024)
On Mixed Concatenations of Pell and Pell-Lucas Numbers which are Pell Numbers
by: Adédji, Kouèssi Norbert, et al.
Published: (2023)
by: Adédji, Kouèssi Norbert, et al.
Published: (2023)
Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree
by: Bajpai, Prajeet, et al.
Published: (2023)
by: Bajpai, Prajeet, et al.
Published: (2023)
Some Diophantine Equations involving associated Pell numbers and repdigits
by: Mohapatra, Monalisa, et al.
Published: (2024)
by: Mohapatra, Monalisa, et al.
Published: (2024)
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 concatenations of two $k$-generalized Lucas numbers
by: Tumwesigye, Alex Behakanira, et al.
Published: (2025)
by: Tumwesigye, Alex Behakanira, et al.
Published: (2025)
Cullen and Woodall numbers in Padovan and Perrin sequences
by: Batte, Herbert, et al.
Published: (2026)
by: Batte, Herbert, et al.
Published: (2026)
$S$-units and period length of continued fractions of linear recursions
by: Kumar, Veekesh, et al.
Published: (2025)
by: Kumar, Veekesh, et al.
Published: (2025)
Extensions of $D(4)$-pairs $\{a, ka\}$ with $k\in \{7,8,10,11,12,13\}$
by: Trebješanin, Marija Bliznac, et al.
Published: (2025)
by: Trebješanin, Marija Bliznac, et al.
Published: (2025)
Additive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated root
by: Godara, Vikas, et al.
Published: (2026)
by: Godara, Vikas, et al.
Published: (2026)
On the resolution of the Diophantine equation $U_n + U_m = x^q$
by: Bhoi, P. K., et al.
Published: (2022)
by: Bhoi, P. K., et al.
Published: (2022)
Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
by: Miyazaki, Takafumi, et al.
Published: (2026)
by: Miyazaki, Takafumi, et al.
Published: (2026)
On the $abc$ and the $abcd$ conjectures
by: Pasten, Hector, et al.
Published: (2024)
by: Pasten, Hector, et al.
Published: (2024)
Lattice point visibility along powers of polynomials
by: Lobsenz, Abraham, et al.
Published: (2026)
by: Lobsenz, Abraham, et al.
Published: (2026)
On Pell numbers representable as product of two generalized Fibonacci numbers
by: Bravo, Jhon J., et al.
Published: (2025)
by: Bravo, Jhon J., et al.
Published: (2025)
Ratios of two powers of van der Laan-Padovan numbers
by: Yamada, Tomohiro
Published: (2025)
by: Yamada, Tomohiro
Published: (2025)
On non-holonomicity, transcendence and $p$-adic valuations
by: Cobeli, Cristian, et al.
Published: (2024)
by: Cobeli, Cristian, et al.
Published: (2024)
Positive characteristic analogues of finite algebraic numbers
by: Matsuzuki, Daichi, et al.
Published: (2026)
by: Matsuzuki, Daichi, et al.
Published: (2026)
Valuation Separation for Coprime Lucas Products
by: Kym, Dongyeon
Published: (2026)
by: Kym, Dongyeon
Published: (2026)
On a Variant of Pillai's problem involving convergent denominators of quadratic irrationals
by: Mittal, Mohit
Published: (2025)
by: Mittal, Mohit
Published: (2025)
Sums of two units in number fields
by: Tinková, Magdaléna, et al.
Published: (2025)
by: Tinková, Magdaléna, et al.
Published: (2025)
On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem
by: Daşdemir, Ahmet
Published: (2023)
by: Daşdemir, Ahmet
Published: (2023)
On the asymptotics of elementary-abelian extensions of local and global function fields
by: Potthast, Nicolas
Published: (2024)
by: Potthast, Nicolas
Published: (2024)
On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences
by: Tripathy, Bibhu Prasad, et al.
Published: (2025)
by: Tripathy, Bibhu Prasad, et al.
Published: (2025)
On the difference between squares and integral $S$-units
by: Bugeaud, Yann
Published: (2025)
by: Bugeaud, Yann
Published: (2025)
On the rational approximation to linear combinations of powers
by: Kumar, Veekesh, et al.
Published: (2025)
by: Kumar, Veekesh, et al.
Published: (2025)
On the difference between perfect powers and integral $S$-units
by: Bugeaud, Yann
Published: (2026)
by: Bugeaud, Yann
Published: (2026)
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)
Primitive prime divisors in the forward orbit of a polynomial
by: Laishram, Shanta, et al.
Published: (2025)
by: Laishram, Shanta, et al.
Published: (2025)
On $k$-Pell numbers that are Palindromes formed by two distinct Repdigits
by: Batte, Herbert, et al.
Published: (2025)
by: Batte, Herbert, et al.
Published: (2025)
Integer solutions of Pell equation in bounded regions
by: Ong, Kun Yi, et al.
Published: (2025)
by: Ong, Kun Yi, et al.
Published: (2025)
Similar Items
-
The quotient problem for linear recurrence sequences
by: Nair, Parvathi S, et al.
Published: (2026) -
The extensibility of the Diophantine triple $\{2, b, c\}$
by: Adžaga, Nikola, et al.
Published: (2026) -
Sum of terms of recurrence sequences in the solution sets of generalized Pell equations
by: Bhoi, Pritam Kumar, et al.
Published: (2024) -
Solving Skolem problem for negative indexed $k-$generalized Pell numbers
by: Mohapatra, Monalisa, et al.
Published: (2025) -
Algebraic approximations to linear combinations of S-units
by: Nair, Parvathi S, et al.
Published: (2025)