Cover Image

The extended Frobenius problem for Lucas series incremented by a Lucas number

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Robles-Pérez, Aureliano M., Rosales, José Carlos
Format:	Preprint
Published:	2022
Subjects:	Number Theory 11D07, 11B39 (Primary), 11A67, 05A17 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Frobenius problem for Numerical Semigroups generated by binomial coefficients
by: Hwang, WonTae, et al.
Published: (2024)

The $p$-adic Valuations of Möbius Duals of Lucas Sequences
by: Ross, Tyler, et al.
Published: (2025)

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

Valuation Separation for Coprime Lucas Products
by: Kym, Dongyeon
Published: (2026)

Uniform Bounds for Digit-Appending Fibonacci Walks
by: Kominers, Scott Duke
Published: (2025)

On Wagstaff primes in the $k$-Lucas number sequence
by: Batte, Herbert
Published: (2026)

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

The Fibonacci-Fubini and Lucas-Fubini numbers
by: Djemmada, Yahia, et al.
Published: (2024)

The Frobenius problem for shifted square sequences starting with a multiple of 4
by: Song, Kyunghwan
Published: (2026)

Cubic congruences and binary quadratic forms
by: Sun, Zhi-Hong
Published: (2025)

Cyclotomic Congruences and Lucas Sequences
by: Ross, Tyler, et al.
Published: (2025)

On the determination of $p$-Frobenius and related numbers using the $p$-Apéry set
by: Komatsu, Takao
Published: (2021)

Multinomial Catalan Numbers and Lucas Analogues
by: Da Conceição, Joaquim Cera
Published: (2024)

Congruence Classes of Supporting the Erdös-Straus Conjecture I: Tame Solutions
by: Xu, Xiaoping
Published: (2026)

Gaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion Polynomials
by: Bachman, Gennady
Published: (2026)

Positive characteristic analogues of finite algebraic numbers
by: Matsuzuki, Daichi, et al.
Published: (2026)

Covering systems with the sum of the reciprocals of the moduli close to $1$
by: Filaseta, Michael, et al.
Published: (2024)

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

A $2$-Regular Sequence That Counts The Divisors of $n^2 + 1$
by: Shakov, Anton
Published: (2025)

Some power series extensions of Fibonacci and Lucas polynomials
by: Cigler, Johann
Published: (2025)

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

Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions
by: López, Ronald Orozco
Published: (2026)

Generalized Frobenius Number of Three Variables
by: Subwattanachai, Kittipong
Published: (2023)

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

Congruences for the Apéry numbers modulo $p^3$
by: Sun, Zhi-Hong
Published: (2024)

Period patterns, entry points, and orders in the Lucas sequences: theory and applications
by: Fiebig, Morgan, et al.
Published: (2024)

General Recurrence Multidimensional Zeckendorf Representations
by: Cheng, Jiarui, et al.
Published: (2025)

Sophie Germain Primes and the Totient of Fibonacci Numbers
by: Goel, Aradhya
Published: (2026)

An inductive proof of the Frobenius coin problem of two denominations
by: Kapetanakis, Giorgos, et al.
Published: (2023)

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

Connections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices
by: Allen, Michael A., et al.
Published: (2021)

A Study of Second-Order Linear Recurrence Sequences via Continuants
by: Chua, Hongshen
Published: (2025)

A note on the power sums of the number of Fibonacci partitions
by: Sanna, Carlo
Published: (2023)

Simple Proof of the Primitive Root Conjecture
by: Carella, N. A.
Published: (2017)

Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc
by: Russell, Matthew C.
Published: (2023)

Generalizations of Euler's $φ$-function with respect to systems of polynomials of several variables
by: Csizmazia, Norbert, et al.
Published: (2025)

Congruence speed of tetration bases ending with $0$
by: Ripà, Marco
Published: (2024)

On concatenations of two $k$-generalized Lucas numbers
by: Tumwesigye, Alex Behakanira, et al.
Published: (2025)

Explicit Prime Densities for the Rank of Appearance in Lucas Sequences
by: Da Conceição, Joaquim Cera
Published: (2026)

Weighted sums of Lucas numbers of the first and second kind
by: Mbirika, aBa
Published: (2025)