Perrin Sequences -My Chalkboard
These chapters are available on request.
Content
Chalkboard #1 – Generation
Chalkboard #2 – Finite Sequences
Chalkboard #3- Prime Classes
Chalkboard #4- Matrix Representation
Chalkboard #5 – Circulant Matrices and Equivalence Classes
Chalkboard #6 – Exactly realizable sequences and Equivalence
Chalkboard #7 – Higher Order Perrin Sequences
Chalkboard #8 – [a,b] classes of elliptic equations and an Invariant
Chalkboard #9 – The Generating Functions
Chalkboard #10 -Dynamical Zeta Functions
Chalkboard #11- Maximal independent sets, cycles and spanning trees
Chalkboard #12- Elliptic Curves over the Rational Number Field
Appendix: Elements of F(25)
Chalkboard #13- Perrin Pseudoprimes
Appendices to Perrin Pseudoprimes
Chapter 14- Perrin Prime Distribution Theorem
Chapter 15- Calculation of the Nth term in the Perrin Sequence when N is Prime
Chapter 16- An Application to Multiple Zeta Values
Chapter 17- Perrin’s First Sequence and other Isomorphic Recurrence Sequences
Appendix- New Observations for the Restricted Rogers-Ramanujan Identity
Chapter 18 – A General Algorithm and Perrin and Padovan Sequences
Chapter 19- Geometry of the Perrin and Padovan Sequences
Chapter 20- Integer Sequences, Discriminants and the Dedekind Eta Function
Chapter 21- Deducing Polynomial Division Algorithms using a Groebner Basis
Chapter 22- Factoring P2(x,n) over a Finite Field
Chapter 23- The Perrin Conjugate and the Laguerre Orthogonal Polynomial
Chapter 24- The Jacobi Polynomial, Laguerre Polynomial and Delannoy numbers
Chapter 25- The Laplace Operator
Chapter 26- The Laplace Operator Part 2
Chapter 27- The Jacobi Polynomial Revisited
Chapter 28- Expressing a q continued fraction in Radicals.
Richard Turk
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