| view 👀:5 |
🙍 oneddl |
redaktor: book24h | Rating👍:
Perfect Numbers and Fibonacci Sequences [#482005]
English | 2022 | ISBN: 9811244073 | 261 pages | True PDF | 129.15 MB
In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships connecting the square sum perfect numbers, the Fibonacci sequence, the Lucas sequence, the twin prime conjecture, and the Fermat primes. Throughout, we raise various interesting questions and conjectures.
Contents:
PrefaceThe History of Perfect Numbers:
- Properties of Even Perfect NumbersOpen QuestionsOdd Perfect NumbersTouchard's TheoremDeficient and Abundant NumbersWeird Numbers and Semiperfect NumbersOre Numbers and the Harmonic MeanVariations on Ore NumbersAmicable NumbersMultiply Perfect NumbersThree Further GeneralizationsS -perfect NumbersThe Golden Ratio Conjecture
The Fibonacci Sequence: - Fibonacci, Leonardo of PisaThe Rabbit ProblemGeneral Terms and LimitsConnection with Continued FractionsThree IdentitiesEquations Between Binomial CoefficientsDivisibility SequencesZeckendorf's TheoremFrom Base 2 to Base 3Hilbert's Tenth Problem
Lucas Numbers and Lucas Sequences: - The Lucas NumbersCriteria for Fibonacci NumbersPrime Divisors of Fibonacci NumbersFibonacci CongruencesA More General CongruenceNarayana Sequence CongruencesPythagorean TriplesDiophantine m -tupplesGenerating FunctionsLucas SequencesPisano Periodπ(n) and πL(n)Prime Divisors of Lucas Numbers
Perfect Numbers and Fibonacci Primes: - Square Sum Perfect NumbersSome LemmasProof of TheoremsA New Conjecture Concerning Perfect NumbersAffine Square Sum Perfect NumbersSquare Sum Perfect Numbers and the Twin Prime ConjectureFermat Primes and GM NumbersThe abcd EquationApplications of Elliptic CurvesResults with Lucas Sequences
Appendices: - The First 100 Fibonacci Numbers and Their Prime FactorizationsThe First 100 Lucas Numbers and Their Prime FactorizationsPrime Factorization of the First 100 Lucas Numbers
BibliographyIndex
Readership: It is the first monograph to connecting perfect number and Fibonacci sequence, the two old mathematical problems, with rich history, it will attract number theorists and combinatorists in the world. Also good for maths teachers and fans.![a98463b82f333ea...]()
![rapidgator]()
https://rapidgator.net/file/9e966a9d1d0bd0d82c3121a695419d53/ldtjm.P.N.a.F.S.rar.htmlPlease Help Me Click Connect Icon Below Here and Share News to Social Network | Thanks you !⚠️ Dead Link ?
Request Re-upload
You may submit a re-upload request using the search feature. All requests are reviewed in accordance with our Content Policy.
Significant surge in the popularity of free ebook download platforms. These virtual repositories offer an unparalleled range, covering genres that span from classic literature to contemporary non-fiction, and everything in between. Enthusiasts of reading can easily indulge in their passion by accessing free books download online services, which provide instant access to a wealth of knowledge and stories without the physical constraints of space or the financial burden of purchasing hardcover editions.
Comments (0)
Users of Guests are not allowed to comment this publication.