On a nonlinear Diophantine equation with powers of three consecutive $k$--Lucas Numbers
Fuente:
arXiv
Saved in:
| Main Authors: | Batte, Herbert, Luca, Florian |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The Discriminant of the Characteristic Polynomial of the $k$th Fibonacci sequence is not a member of the $k$th Lucas sequence
by: Batte, Herbert, et al.
Published: (2025)
by: Batte, Herbert, et al.
Published: (2025)
$k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits
by: Batte, Herbert, et al.
Published: (2025)
by: Batte, Herbert, et al.
Published: (2025)
On Wagstaff primes in the $k$-Lucas number sequence
by: Batte, Herbert
Published: (2026)
by: Batte, Herbert
Published: (2026)
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)
Solutions to a Pillai-type equation involving Tribonacci numbers and S-units
by: Batte, Herbert, et al.
Published: (2024)
by: Batte, Herbert, et al.
Published: (2024)
On a problem of Pillai involving S-units and Lucas numbers
by: Batte, Herbert, et al.
Published: (2024)
by: Batte, Herbert, et al.
Published: (2024)
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)
Product of powers of distinct primes as sums of Fibonacci numbers
by: Batte, Herbert, et al.
Published: (2026)
by: Batte, Herbert, et al.
Published: (2026)
On the Largest Prime factor of the $k$-generalized Pell numbers
by: Batte, Herbert
Published: (2025)
by: Batte, Herbert
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)
On mixed $b$-concatenations of Fibonacci and Lucas numbers that are Lucas numbers
by: Batte, Herbert, et al.
Published: (2026)
by: Batte, Herbert, et al.
Published: (2026)
On Palindromic forms in the $k$-Lucas sequence composed of two distinct Repdigits
by: Batte, Herbert, et al.
Published: (2025)
by: Batte, Herbert, et al.
Published: (2025)
On concatenations of two $k$-generalized Lucas numbers
by: Tumwesigye, Alex Behakanira, et al.
Published: (2025)
by: Tumwesigye, Alex Behakanira, et al.
Published: (2025)
On a Diophantine Equation Involving Lucas Numbers
by: Ibrahimov, Seyran S., et al.
Published: (2025)
by: Ibrahimov, Seyran S., et al.
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)
On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem
by: Daşdemir, Ahmet
Published: (2023)
by: Daşdemir, Ahmet
Published: (2023)
Lucas numbers that are palindromic concatenations of two distinct repdigits
by: Batte, Herbert
Published: (2023)
by: Batte, Herbert
Published: (2023)
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)
Perfect powers among Jacobsthal numbers
by: Virbalas, Paulius
Published: (2026)
by: Virbalas, Paulius
Published: (2026)
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)
Tribonacci-Lucas numbers that are palindromic concatenations of two distinct repdigits
by: Ddamulira, Mahadi
Published: (2025)
by: Ddamulira, Mahadi
Published: (2025)
Valuation Separation for Coprime Lucas Products
by: Kym, Dongyeon
Published: (2026)
by: Kym, Dongyeon
Published: (2026)
Narayana numbers that are products of two Fibonacci numbers
by: Odjoumani, Japhet
Published: (2025)
by: Odjoumani, Japhet
Published: (2025)
Multiplicative independence in the sequence of $k$-generalized Pell numbers
by: Deme, Cherif B., et al.
Published: (2026)
by: Deme, Cherif B., et al.
Published: (2026)
On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation
by: Chakraborty, Kalyan, et al.
Published: (2021)
by: Chakraborty, Kalyan, et al.
Published: (2021)
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)
Balancing and Lucas-balancing numbers as difference of two repdigits
by: Mohapatra, Monalisa, et al.
Published: (2024)
by: Mohapatra, Monalisa, et al.
Published: (2024)
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)
Solution of the Diophantine equation $x^2 + p^k=y^n$
by: Ghosh, Arkabrata
Published: (2024)
by: Ghosh, Arkabrata
Published: (2024)
Diophantine equation related to angle bisectors and solutions of Pell's equations
by: Hirotsu, Takashi
Published: (2022)
by: Hirotsu, Takashi
Published: (2022)
Representing an integer and its powers in two unrelated number systems
by: Sharma, Divyum, et al.
Published: (2025)
by: Sharma, Divyum, et al.
Published: (2025)
Solving Skolem problem for negative indexed $k-$generalized Pell numbers
by: Mohapatra, Monalisa, et al.
Published: (2025)
by: Mohapatra, Monalisa, et al.
Published: (2025)
Purely exponential Diophantine equations with four terms of consecutive bases: contribution to Skolem's conjecture
by: Le, Maohua, et al.
Published: (2025)
by: Le, Maohua, et al.
Published: (2025)
A Pair of Diophantine Equations Involving the Fibonacci Numbers
by: Chen, Xuyuan, et al.
Published: (2024)
by: Chen, Xuyuan, et al.
Published: (2024)
Multiplicatively reducible subsets of shifted perfect $k$-th powers and bipartite Diophantine tuples
by: Yip, Chi Hoi
Published: (2023)
by: Yip, Chi Hoi
Published: (2023)
On the Curved Patterns Seen in the Graph of PPTs
by: Parks, James M.
Published: (2021)
by: Parks, James M.
Published: (2021)
On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$
by: Fuchs, Clemens, et al.
Published: (2026)
by: Fuchs, Clemens, et al.
Published: (2026)
Perfect powers in the product of denominators of elliptic curves
by: Bhakta, Subham
Published: (2026)
by: Bhakta, Subham
Published: (2026)
On the Ratat-Goormaghtigh equation and integer points close to the graph of a smooth function
by: Yamada, Tomohiro
Published: (2025)
by: Yamada, Tomohiro
Published: (2025)
Asymptotic formulas for sums of elements from a multiplicative group
by: Evertse, Jan-Hendrik, et al.
Published: (2026)
by: Evertse, Jan-Hendrik, et al.
Published: (2026)
Similar Items
-
The Discriminant of the Characteristic Polynomial of the $k$th Fibonacci sequence is not a member of the $k$th Lucas sequence
by: Batte, Herbert, et al.
Published: (2025) -
$k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits
by: Batte, Herbert, et al.
Published: (2025) -
On Wagstaff primes in the $k$-Lucas number sequence
by: Batte, Herbert
Published: (2026) -
On generalized Thabit numbers $(p+1)p^\mathfrak{a}-1$ in the $k$-Lucas sequence
by: Batte, Herbert, et al.
Published: (2026) -
Solutions to a Pillai-type equation involving Tribonacci numbers and S-units
by: Batte, Herbert, et al.
Published: (2024)