Cover Image

On a Diophantine Equation Involving Lucas Numbers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ibrahimov, Seyran S., Mahmudov, Nazim I.
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11B39, 11D61, 11B83
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On a nonlinear Diophantine equation with powers of three consecutive $k$--Lucas Numbers
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)

Fibonacci Numbers and Their Lucas Coefficients
by: Suthar, Tapan
Published: (2025)

Problems Regarding a Pair of Diophantine Equations
by: Chu, Hung Viet, et al.
Published: (2025)

A Pair of Diophantine Equations and Fibonacci-Like Sequences
by: Chu, Hung Viet, et al.
Published: (2025)

On mixed $b$-concatenations of Fibonacci and Lucas numbers that are Lucas numbers
by: Batte, Herbert, et al.
Published: (2026)

A Pair of Diophantine Equations Involving the Fibonacci Numbers
by: Chen, Xuyuan, et al.
Published: (2024)

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)

On the resolution of the Diophantine equation $U_n + U_m = x^q$
by: Bhoi, P. K., et al.
Published: (2022)

Tribonacci-Lucas numbers that are palindromic concatenations of two distinct repdigits
by: Ddamulira, Mahadi
Published: (2025)

Valuation Separation for Coprime Lucas Products
by: Kym, Dongyeon
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)

On a problem of Pillai involving S-units and Lucas numbers
by: Batte, Herbert, et al.
Published: (2024)

On concatenations of two $k$-generalized Lucas numbers
by: Tumwesigye, Alex Behakanira, 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)

On Sum of a Polynomial Multiplied by Generalized Fibonacci Numbers
by: Hadinata, Ivan
Published: (2025)

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

$k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits
by: Batte, Herbert, et al.
Published: (2025)

Narayana numbers that are products of two Fibonacci numbers
by: Odjoumani, Japhet
Published: (2025)

On $k$-Pell numbers that are Palindromes formed by two distinct Repdigits
by: Batte, Herbert, et al.
Published: (2025)

Perfect powers among Jacobsthal numbers
by: Virbalas, Paulius
Published: (2026)

On a Pair of Diophantine Equations
by: Arachchi, Sujith Uthsara Kalansuriya, et al.
Published: (2023)

On Certain Diophantine Equations Involving Lucas Numbers
by: Mandal, Priyabrata
Published: (2024)

Narayana's cows numbers which are concatenations of three repdigits in base $ρ$
by: Tiebekabe, Pagdame, et al.
Published: (2023)

Multiplicative independence in the sequence of $k$-generalized Pell numbers
by: Deme, Cherif B., et al.
Published: (2026)

Perrin numbers that are palindromic concatenations of two repdigits
by: Batte, Herbert, et al.
Published: (2024)

A generalization of a Ramanujan's exercise and Fibonacci polynomials
by: Shibukawa, Genki
Published: (2024)

Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum
by: Hadinata, Ivan
Published: (2025)

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation
by: Chakraborty, Kalyan, et al.
Published: (2021)

Solutions to a Pillai-type equation involving Tribonacci numbers and S-units
by: Batte, Herbert, et al.
Published: (2024)

On the Largest Prime factor of the $k$-generalized Pell numbers
by: Batte, Herbert
Published: (2025)

Product of powers of distinct primes as sums of Fibonacci numbers
by: Batte, Herbert, et al.
Published: (2026)

Cullen and Woodall numbers in Padovan and Perrin sequences
by: Batte, Herbert, et al.
Published: (2026)

The Hofstadter consecutive-sum sequence omits infinitely many positive integers
by: Tang, Quanyu
Published: (2026)

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

Representing an integer and its powers in two unrelated number systems
by: Sharma, Divyum, et al.
Published: (2025)

Solving Skolem problem for negative indexed $k-$generalized Pell numbers
by: Mohapatra, Monalisa, et al.
Published: (2025)

Binary sequences meet the Fibonacci sequence
by: Miska, Piotr, et al.
Published: (2024)

Additive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated root
by: Godara, Vikas, et al.
Published: (2026)