Latest Research in Number Theoretic Dynamics

Top Research Topics in Number Theoretic Dynamics

• Number Theory — 340 papers
• Analytic Number Theory Research — 306 papers
• Combinatorics — 278 papers
• Benford’s Law and Fraud Detection — 190 papers
• Advanced Combinatorial Mathematics — 137 papers
• Quasicrystal Structures and Properties — 118 papers
• History and Theory of Mathematics — 114 papers
• Advanced Mathematical Identities — 103 papers
• Polynomial and algebraic computation — 101 papers
• Mathematics and Applications — 89 papers

Highest-Cited Papers

1. Séminaires de Géométrie Algébrique (SGA) — French/English Canon and Current Readers (1 citations)
2. Shift equivalence relations through the lens of C*-correspondences (1 citations)
3. Defect Flow, Incidence Rank, and Boundary Descent for Seymour's Second-Neighborhood Conjecture (2 citations)
4. Monochromatic sets in strictly Δ-regressive colourings
5. A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture
6. A logarithmic-Quadratic Upper-Bound conjecture for Odd Collatz Trajectories
7. A logarithmic-Quadratic Upper-Bound conjecture for Odd Collatz Trajectories
8. A Cubic Upper Bound Conjecture for Odd Collatz Trajectories
9. Monochromatic sets in strictly Δ-regressive colourings
10. A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture
11. Channel Theory for Polynomial Continued Fractions: Asymptotic Channels, the ξ₀ = 2/√β₂ Identity, and a Bridge Conjecture (12 citations)
12. Lower Bounds for Cycle Lengths in the Juggler Map
13. Inversion monotonicity and asymptotic enumeration of 1324-avoiding permutations with few inversions
14. The Collatzogin Tree: A Complete Inductive Framework for the Collatz Conjecture
15. Mathematics of Form: Recursive Forms with Ordered Fusion and Replicative Propagation
16. A 64-Million-Prime Audit of Frontier Collisions and Binary Continuations in Gilbreath Difference Triangles
17. Measure-Zero vs. Meager: Two Inequivalent Notions of Smallness — E8 Intelligence Research
18. Polymath's Collaborative Proof-Verification: From Zhang's Bound to \(H_1 \leq 246\) — E8 Intelligence Research
19. The Modular Group's Symmetry Engine: Elliptic Curves, Modular Forms, and Fermat's Last Theorem — E8 Intelligence Research
20. The Villages of Arithmetic: A Story of the NumberScape

Sub-Regions

• Benford’s Law and Fraud Detection — 1,001 papers
• Combinatorics — 812 papers
• History and Theory of Mathematics — 441 papers
• Number Theory — 373 papers
• Analytic Number Theory Research — 171 papers
• Quasicrystal Structures and Properties — 83 papers