Latest Research in Advanced Mathematical Theories and Applications

Top Research Topics in Advanced Mathematical Theories and Applications

• Advanced Mathematical Theories and Applications — 41 papers
• Quasicrystal Structures and Properties — 40 papers
• Benford’s Law and Fraud Detection — 26 papers
• Analysis of PDEs — 26 papers
• Analytic Number Theory Research — 24 papers
• Topological Materials and Phenomena — 21 papers
• Quantum chaos and dynamical systems — 16 papers
• Random Matrices and Applications — 16 papers
• History and Theory of Mathematics — 15 papers
• Mathematical Physics — 15 papers

Highest-Cited Papers

1. Matrix Product Operator Algebras I: Representations of Weak Hopf Algebras and Projected Entangled Pair States (10 citations)
2. The branch exponent of the leading Borel singularity reads two coefficients, not one: a closed form, and the falsification that produced it (2 citations)
3. A Fourier–Lévy Normal Form for Localized Weil Positivity: Finite-Rank Boundary Terms, Scalar Resolvents, and a Certified Finite Block and Continuum Fourier Tail
4. E8‑Phi Harmonic Topological Lattice (EPTL) for Quantum Transfer — E8 Intelligence Research
5. E8‑Khovanov Homology Waveguide Quantum Channel — E8 Intelligence Research
6. E8‑Phi Harmonic Topological Lattice (EPTL) for Quantum Transfer — E8 Intelligence Research
7. E8‑Khovanov Homology Waveguide Quantum Channel — E8 Intelligence Research
8. Scale Invariance and Dynamic Invariants in Collatz Dynamics
9. A Spinning-Top Perspective on the Zeros of the Riemann Zeta Function
10. Quartic Contact in an Even Polynomial Heat Flow: Parts I–V with Companion Archive
11. Phi‑Scaled E8 Root‑Knot Confinement — E8 Intelligence Research
12. Phi‑Prime E8 Topological Coding — E8 Intelligence Research
13. A Spinning-Top Perspective on the Zeros of the Riemann Zeta Function
14. FROM TRIALITY TO GENERATOR RESOLUTION S₃ Augmentation, Determinant Closure, and the Emergence of a 3 + 2 Mode Architecture
15. FROM TRIALITY TO GENERATOR RESOLUTION S₃ Augmentation, Determinant Closure, and the Emergence of a 3 + 2 Mode Architecture
16. A Fourier–Lévy Normal Form for Localized Weil Positivity: Finite-Rank Boundary Terms, Scalar Resolvents, and a Certified Finite Block and Continuum Fourier Tail
17. FROM TRIALITY TO GENERATOR RESOLUTION S₃ Augmentation, Determinant Closure, and the Emergence of a 3 + 2 Mode Architecture
18. Sixth-order Bochner–Krall systems for regular complex functionals: a computer-assisted classification
19. THE SYMMETRY AROUND (1/2) AND THE EQUILIBRIUM OF THE STRUCTURE OF THE ZEROS OF THE ZETA FUNCTION
20. Simple critical zeros in short intervals: stability, pressure, and parity