Sumsets associated with Wythoff sequences and Fibonacci numbers
From MaRDI portal
Publication:2036598
DOI10.1007/s10998-020-00343-0zbMath1474.11033OpenAlexW3024801220MaRDI QIDQ2036598
Passawan Noppakaew, Sutasinee Kawsumarng, Tammatada Khemaratchatakumthorn, Prapanpong Pongsriiam
Publication date: 29 June 2021
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10998-020-00343-0
Additive bases, including sumsets (11B13) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (7)
Sumsets and fixed points of substitutions ⋮ Frobenius Numbers and Automatic Sequences ⋮ Combinatorial structure and sumsets associated with Beatty sequences generated by powers of the golden ratio ⋮ Unnamed Item ⋮ Sumsets of Wythoff sequences, Fibonacci representation, and beyond ⋮ Sumsets associated with Beatty sequences ⋮ Combinatorial inequalities arising from the inclusion-exclusion principle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wythoff games, continued fractions, cedar trees and Fibonacci searches
- Heap games, numeration systems and sequences
- Longest arithmetic progressions in reduced residue systems
- The order of appearance of factorials in the Fibonacci sequence and certain Diophantine equations
- Local behaviors of the number of relatively prime sets
- Subsequences and Divisibility by Powers of the Fibonacci Numbers
- FACTORIZATION OF FIBONACCI NUMBERS INTO PRODUCTS OF LUCAS NUMBERS AND RELATED RESULTS
- The general case on the order of appearance of product of consecutive Fibonacci and Lucas numbers
- A COMPLETE FORMULA FOR THE ORDER OF APPEARANCE OF THE POWERS OF LUCAS NUMBERS
- Integral Values of the Generating Functions of Fibonacci and Lucas Numbers
- The divisor function on residue classes II
- Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II
- How to Beat Your Wythoff Games' Opponent on Three Fronts
- Reciprocal Sum of Palindromes
- Fibonacci and Lucas Numbers Associated with Brocard-Ramanujan Equation
- The divisor function on residue classes I
- Relatively Prime Sets, Divisor Sums, and Partial Sums
- The Bracket Function and Complementary Sets of Integers
- Sumsets of finite Beatty sequences
This page was built for publication: Sumsets associated with Wythoff sequences and Fibonacci numbers