Latest Research in Quasicrystal Structures and Properties

Top Research Topics in Quasicrystal Structures and Properties

• Analytic Number Theory Research — 24 papers
• Quasicrystal Structures and Properties — 7 papers
• Number Theory — 4 papers
• Mathematics and Applications — 4 papers
• History and Theory of Mathematics — 4 papers
• Benford’s Law and Fraud Detection — 3 papers
• Cryptography and Residue Arithmetic — 3 papers
• General Mathematics — 3 papers
• Advanced Combinatorial Mathematics — 2 papers
• Computational Geometry and Mesh Generation — 2 papers

Highest-Cited Papers

1. Lower Bounds for Cycle Lengths in the Juggler Map
2. A Verified Transversal Corpus of 5,014,161 Nonextendible Pairs of Orthogonal Latin Squares of Order 10
3. Dihedral Symmetry in Collatz Dynamics Over Finite Fields — E8 Intelligence Research
4. The Dense Algebraic Architecture of Turing Degrees — E8 Intelligence Research
5. Surjectivity of the Enots Wolley Sequence
6. The Unresolved abc Conjecture: New Proofs, Doubts, and a Fibonacci Link — E8 Intelligence Research
7. Distribution of squarefree integers with double congruence conditions
8. Prime Scalar Field Claim Lacks Proof; PNT Proven via Mean Value Theorem — E8 Intelligence Research
9. Aggregate Head Layers for the Strict sqrt(2) Rademacher Upper Tail
10. A 2-adic Bridge Between the Chinese Rings Puzzle, Cubic Residues mod 2ⁿ , and the Golden Book Sequence via Self-Base Digit Expansions
11. The Four-Lane Arrangement of the Primes: a compass layout of primes by last digit — what it shows, what it predicts, and what it does not
12. Fermat's Last Theorem: A Novel Polynomial-Root Reinterpretation via Elliptic Curves — E8 Intelligence Research
13. Penrose Tilings: Möbius Inversion Counts Golden Symmetry Patterns — E8 Intelligence Research
14. Goldbach's Binary Conjecture Unproven; Ternary Form Solved, Verification to 4×10^18 — E8 Intelligence Research
15. Prime Spirals and Coprime Density: Hexagonal Lattice Link — E8 Intelligence Research
16. Beyond the Uniform Guess: An Exact Solution to a Non-Uniform Birth-Month Coincidence Problem
17. The Windmill Problem: A Dynamic Geometric Invariant — E8 Intelligence Research
18. Slavin Mirror Arithmetic and the Prime Mirror Spectrum Theorem
19. Nonexistence of consecutive powerful triplets around cubes with mixed prime factorizations
20. Cyclotomic Field Q(ζ₅) Links Golden Ratio to Fifth Roots of Unity — E8 Intelligence Research