Latest Research in Number Theory

Top Research Topics in Number Theory

• Number Theory — 65 papers
• Functional Analysis — 50 papers
• Benford’s Law and Fraud Detection — 36 papers
• Advanced Mathematical Theories and Applications — 34 papers
• History and Theory of Mathematics — 34 papers
• Advanced Mathematical Identities — 26 papers
• Classical Analysis and ODEs — 25 papers
• Combinatorics — 22 papers
• Quasicrystal Structures and Properties — 20 papers
• Probability — 19 papers

Highest-Cited Papers

1. Analytical Solutions to Open Structural Challenges in Rational Series and Integrals via Saif R. Lazim's Identities
2. Parity Invariant Solves IMO Windmill Problem — E8 Intelligence Research
3. Phi‑Coupled 240‑Vector Collatz Harmonic Lattice — E8 Intelligence Research
4. Pigeonhole Principle, Partition Lattices, and Lattice Paths: A Scattered Mathematical Overview — E8 Intelligence Research
5. Reduction of the Numbers in the Collatz Equation into Two Groups and the Results
6. Langlands Duality and Quasicrystalline Symmetry in Root Systems — E8 Intelligence Research
7. The Golden Ratio as the Algebraic Bridge Between 5-Fold Symmetry, Roots of Unity, and Fractal Geometry — E8 Intelligence Research
8. Phi‑Coupled 240‑Vector Collatz Harmonic Lattice — E8 Intelligence Research
9. Reduction of the Numbers in the Collatz Equation into Two Groups and the Results
10. Langlands Duality and Quasicrystalline Symmetry in Root Systems — E8 Intelligence Research
11. Penrose Tiling's K-Theory Links Quasicrystals to Golden Ratio Field — E8 Intelligence Research
12. Block-Alternating Wallis-Type Products and Non-Commuting Boundary Limits
13. A Ternary (4k+1(2))/3 Collatz-Type Map with Two Attracting Cycles: Theoretical Analysis and Exhaustive Computational Verification up to 10^11
14. The Legendary IMO 1988 Problem 6 Is Solved, Not Unsolved — E8 Intelligence Research
15. Phi-Resonant E8 Aperiodic Data Encoding — E8 Intelligence Research
16. Golden Ratio Links Möbius Function, Euler's Totient, and Zeta — E8 Intelligence Research
17. Golden Ratio Links Möbius Function, Euler's Totient, and Zeta — E8 Intelligence Research
18. Block-Alternating Wallis-Type Products and Non-Commuting Boundary Limits
19. Sharp Hölder Stability of Truncated Power-Sum Fibers at Diagonal Collision Points
20. Golden Ratio's Sexagesimal Link and Quantum Fibonacci Generalization — E8 Intelligence Research