↓ Skip to main content
Altmetric
What is this page?
Embed badge
Share
Share on Twitter
Share on Facebook
Share by email
Applications of Fibonacci Numbers : Volume 7
Overview of attention for book
Table of Contents
Altmetric Badge
Book Overview
Altmetric Badge
Chapter 1
Higher Order Bernoulli Polynomials and Newton Polygons
Altmetric Badge
Chapter 2
The Fibonacci Shuffle Tree
Altmetric Badge
Chapter 3
On The Period of Sequences Modulo a Prime Satisfying A Second order Recurrence
Altmetric Badge
Chapter 4
Generalizations to Large Hexagons of The Star of David Theorem with Respect to Gcd
Altmetric Badge
Chapter 5
Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order k
Altmetric Badge
Chapter 6
A Note on a Representation Conjecture By Hoggatt
Altmetric Badge
Chapter 7
Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences
Altmetric Badge
Chapter 8
A Criterion For Stability of Two-Term Recurrence Sequences Modulo Odd Primes
Altmetric Badge
Chapter 9
A Problem of Diophantus and Pell Numbers
Altmetric Badge
Chapter 10
On the Exceptional Set in the Problem of Diophantus and Davenport
Altmetric Badge
Chapter 11
Substitutive Numeration Systems and A Combinatorial Problem
Altmetric Badge
Chapter 12
A Note on Derived Linear Recurring Sequences*
Altmetric Badge
Chapter 13
Observations from Computer Experiments on An Integer Equation
Altmetric Badge
Chapter 14
Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers
Altmetric Badge
Chapter 15
First Derivative Sequences of Extended Fibonacci and Lucas Polynomials
Altmetric Badge
Chapter 16
Elements of Zeckendorf Arithmetic
Altmetric Badge
Chapter 17
Binomial Coefficients Generalized with Respect to a Discrete Valuation
Altmetric Badge
Chapter 18
The Dying Fibonacci Tree
Altmetric Badge
Chapter 19
Smallest Integral Combinatorial Box
Altmetric Badge
Chapter 20
New Aspects of Morgan-Voyce Polynomials
Altmetric Badge
Chapter 21
Growing a Self-Similar Tree
Altmetric Badge
Chapter 22
Lacunary Sums of Binomial Coefficients
Altmetric Badge
Chapter 23
Some Reciprocal Summation Identities with Applications to the Fibonacci and Lucas Numbers
Altmetric Badge
Chapter 24
A Relative Rank Function on Sets of Continued Fractions Having Bounded Partial Quotients
Altmetric Badge
Chapter 25
On Sums of the Reciprocals of Prime Divisors of Terms of a Linear Recurrence
Altmetric Badge
Chapter 26
A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal
Altmetric Badge
Chapter 27
A Generalisation of Ratios of Fibonacci Numbers with Application to Numerical Quadrature
Altmetric Badge
Chapter 28
The Fibonacci Pyramid
Altmetric Badge
Chapter 29
On a Three Dimensional Approximation Problem
Altmetric Badge
Chapter 30
Analysis of the Euclidean and Related Algorithms
Altmetric Badge
Chapter 31
Fundamental Solutions of u 2 -5 v 2 = -4 r 2
Altmetric Badge
Chapter 32
Probable Prime Tests Using Lucas Sequences
Altmetric Badge
Chapter 33
On a Functional Equation Associated with the Fibonacci Numbers
Altmetric Badge
Chapter 34
Diophantine Properties of Linear Recursive Sequences I
Altmetric Badge
Chapter 35
The Cantor-Fibonacci Distribution
Altmetric Badge
Chapter 36
On the Parity of Certain Partition Functions
Altmetric Badge
Chapter 37
There Are Infinitely Many Arithmetical Progressions Formed By Three Different Fibonacci Pseudoprimes
Altmetric Badge
Chapter 38
On MikolÁs’ Summation Formula Involving Farey Fractions
Altmetric Badge
Chapter 39
Second Order Linear Recurring Sequences in Hypercomplex Numbers
Altmetric Badge
Chapter 40
The Bell Differential Polynomials
Altmetric Badge
Chapter 41
On Lucas d-Pseudoprimes
Altmetric Badge
Chapter 42
Asymmetric Cell Division: Binomial Identities for Age Analysis of Mortal vs. Immortal Trees
Altmetric Badge
Chapter 43
The Golden Section and Modern Harmony Mathematics
Altmetric Badge
Chapter 44
Lucas Factors and a Fibonomial Generating Function
Altmetric Badge
Chapter 45
Elementary Properties of Canonical Number Systems in Quadratic Fields
Altmetric Badge
Chapter 46
Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences
Altmetric Badge
Chapter 47
A Multivariate Inverse Polya Distribution of Order k Arising in the Case of Overlapping Success Runs
Altmetric Badge
Chapter 48
Introduction to a Fibonacci Geometry
Altmetric Badge
Chapter 49
Taylor Functionals and the Solution of Linear Difference Equations
Altmetric Badge
Chapter 50
Section — Invariant Numbers and Generalised Golden Section Optimization Algorithms*
Overall attention for this book and its chapters
Altmetric Badge
Mentioned by
syllabi
1
institution with syllabi
wikipedia
2
Wikipedia pages
Book overview
1. Higher Order Bernoulli Polynomials and Newton Polygons
2. The Fibonacci Shuffle Tree
3. On The Period of Sequences Modulo a Prime Satisfying A Second order Recurrence
4. Generalizations to Large Hexagons of The Star of David Theorem with Respect to Gcd
5. Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order k
6. A Note on a Representation Conjecture By Hoggatt
7. Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences
8. A Criterion For Stability of Two-Term Recurrence Sequences Modulo Odd Primes
9. A Problem of Diophantus and Pell Numbers
10. On the Exceptional Set in the Problem of Diophantus and Davenport
11. Substitutive Numeration Systems and A Combinatorial Problem
12. A Note on Derived Linear Recurring Sequences*
13. Observations from Computer Experiments on An Integer Equation
14. Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers
15. First Derivative Sequences of Extended Fibonacci and Lucas Polynomials
16. Elements of Zeckendorf Arithmetic
17. Binomial Coefficients Generalized with Respect to a Discrete Valuation
18. The Dying Fibonacci Tree
19. Smallest Integral Combinatorial Box
20. New Aspects of Morgan-Voyce Polynomials
21. Growing a Self-Similar Tree
22. Lacunary Sums of Binomial Coefficients
23. Some Reciprocal Summation Identities with Applications to the Fibonacci and Lucas Numbers
24. A Relative Rank Function on Sets of Continued Fractions Having Bounded Partial Quotients
25. On Sums of the Reciprocals of Prime Divisors of Terms of a Linear Recurrence
26. A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal
27. A Generalisation of Ratios of Fibonacci Numbers with Application to Numerical Quadrature
28. The Fibonacci Pyramid
29. On a Three Dimensional Approximation Problem
30. Analysis of the Euclidean and Related Algorithms
31. Fundamental Solutions of u 2 -5 v 2 = -4 r 2
32. Probable Prime Tests Using Lucas Sequences
33. On a Functional Equation Associated with the Fibonacci Numbers
34. Diophantine Properties of Linear Recursive Sequences I
35. The Cantor-Fibonacci Distribution
36. On the Parity of Certain Partition Functions
37. There Are Infinitely Many Arithmetical Progressions Formed By Three Different Fibonacci Pseudoprimes
38. On MikolÁs’ Summation Formula Involving Farey Fractions
39. Second Order Linear Recurring Sequences in Hypercomplex Numbers
40. The Bell Differential Polynomials
41. On Lucas d-Pseudoprimes
42. Asymmetric Cell Division: Binomial Identities for Age Analysis of Mortal vs. Immortal Trees
43. The Golden Section and Modern Harmony Mathematics
44. Lucas Factors and a Fibonomial Generating Function
45. Elementary Properties of Canonical Number Systems in Quadratic Fields
46. Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences
47. A Multivariate Inverse Polya Distribution of Order k Arising in the Case of Overlapping Success Runs
48. Introduction to a Fibonacci Geometry
49. Taylor Functionals and the Solution of Linear Difference Equations
50. Section — Invariant Numbers and Generalised Golden Section Optimization Algorithms*
Summary
Syllabi
Wikipedia
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
2
syllabi from
1
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
Unknown
2
Unknown