Cover Image

A Pillai-Catalan-type problem involving Fibonacci numbers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ibrahimov, Seyran S., Mahmudov, Nazim I.
Format:	Preprint
Published:	2024
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Diophantine Equation $F_n = F_l^k (F_l^m-1)$
by: Ibrahimov, Seyran S., et al.
Published: (2024)

On a Diophantine Equation Involving Lucas Numbers
by: Ibrahimov, Seyran S., et al.
Published: (2025)

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

Asymptotics for Pillai's problem with polynomials
by: Heintze, Sebastian
Published: (2021)

On Pillai's Problem involving Lucas sequences of the second kind
by: Heintze, Sebastian, et al.
Published: (2023)

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

Solutions for $k$-generalized Fibonacci numbers using Fuss-Catalan numbers
by: Mane, S. R.
Published: (2024)

On a Variant of Pillai's problem involving convergent denominators of quadratic irrationals
by: Mittal, Mohit
Published: (2025)

An identity relating Catalan numbers to tangent numbers with arithmetic applications
by: Zhao, Tongyuan, et al.
Published: (2025)

An integral representation of Catalan numbers using Malmstén's formula
by: Pain, Jean-Christophe
Published: (2024)

Fibonacci numbers and a metric on coprime pairs
by: Kimura, Mitsuaki
Published: (2026)

Integral representations of Catalan numbers using Touchard-like identities
by: Pain, Jean-Christophe
Published: (2024)

Congruences involving Delannoy numbers and Schröder numbers
by: Jia, Chen-Bo, et al.
Published: (2024)

A note on uniform version of Littlewood inequality and Fibonacci numbers
by: Moshchevitin, Nikolay
Published: (2026)

Fibonacci Numbers as Sums of Consecutive Terms in $k$-Generalized Fibonacci Sequence
by: Alvarenga, Roberto, et al.
Published: (2025)

The best two-term underapproximation using numbers from Fibonacci-type sequences
by: Shiliaev, Mark
Published: (2025)

The strong Fermat-Catalan Equation
by: Mihailescu, Preda
Published: (2025)

Trigonometric inequalities for Fibonacci chains
by: Lai, Anna Chiara, et al.
Published: (2025)

A classification of Markoff-Fibonacci m-triples
by: Alfaya, D., et al.
Published: (2024)

On Pell numbers representable as product of two generalized Fibonacci numbers
by: Bravo, Jhon J., et al.
Published: (2025)

Inequalities involving arithmetic functions
by: Dimitrov, S. I.
Published: (2024)

Non-standard quaternary representations and the Fibonacci numbers
by: Anders, Katie, et al.
Published: (2025)

Fibonacci vector and matrix p-norms
by: Salas-Molina, Francisco
Published: (2024)

The Fibonacci--Redheffer matrix and its properties
by: Doumas, Aristides V., et al.
Published: (2025)

Fibonacci sequences in $\mathbb F_p$
by: Aka, Menny
Published: (2025)

The Fibonacci Zeta Function and Modular Forms
by: Assaf, Eran, et al.
Published: (2025)

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

General Mneimneh-type Binomial Sum involving Harmonic Numbers
by: Pan, Ende, et al.
Published: (2024)

An invitation to Fibonacci digits
by: Cheigh, Justin, et al.
Published: (2024)

On the divisibility of sums of Fibonacci numbers
by: Flynn-Connolly, Oisín
Published: (2025)

Solutions to some sign change problems on the functions involving sums of divisors
by: Ding, Yuchen, et al.
Published: (2024)

On balancing and Lucas-balancing numbers expressible as product of two $k$-Fibonacci numbers
by: Tripathy, Bibhu Prasad, et al.
Published: (2025)

A class number problem for imaginary cyclic number fields of 2-power degrees
by: Louboutin, Stéphane R.
Published: (2025)

Formulas involving Cauchy polynomials, Bernoulli polynomials, and generalized Stirling numbers
by: Cereceda, José L.
Published: (2024)

Relations of multiple $\tilde{T}$-values involving the total numbers of certain permutations
by: Umezawa, Ryota
Published: (2024)

On two congruence conjectures of Z.-W. Sun involving Franel numbers
by: Mao, Guo-Shuai, et al.
Published: (2021)

A Diophantine inequality involving different powers of primes of the form $[n^c]$
by: Dimitrov, S. I.
Published: (2026)

On a product of three theta functions and the number of representations of integers as mixed ternary sums involving squares, triangular, pentagonal and octagonal numbers
by: Bulkhali, N. A. S., et al.
Published: (2024)

Catalan's conjecture is Mihăilescu's theorem
by: Klazar, Martin
Published: (2026)

The Fibonacci numbers are not a Heilbronn set
by: Shiu, Daniel
Published: (2025)