Latest Research in Analysis of PDEs

Top Research Topics in Analysis of PDEs

• Analytic Number Theory Research — 16 papers
• Analysis of PDEs — 10 papers
• Differential Geometry — 8 papers
• Mathematical functions and polynomials — 7 papers
• Dynamical Systems — 5 papers
• Quasicrystal Structures and Properties — 4 papers
• Spectral Theory — 4 papers
• Polynomial and algebraic computation — 3 papers
• Mathematical Dynamics and Fractals — 2 papers
• Spectral Theory in Mathematical Physics — 2 papers

Highest-Cited Papers

1. Protocol Epistemology of Finiteness: A Cohomological Consistency Criterion for Rule-Matrix Systems (CohoRete, v12.0.0)
2. Sixth-order Bochner–Krall systems for regular complex functionals: a computer-assisted classification
3. A Spectral-Operator and Lyapunov Proof for the 100% Localization of Non-Trivial Zeros of the Riemann Zeta Function
4. On an Essential Unverified Step in Baek's "Optimality of Gerver's Sofa" and three ancillary corrections to arXiv:2411.19826v1
5. THE SYMMETRY AROUND (1/2) AND THE EQUILIBRIUM OF THE STRUCTURE OF THE ZEROS OF THE ZETA FUNCTION
6. E8‑Resonant Quantum Invariant via Phi‑Scaled Harmonic Recurrences — E8 Intelligence Research
7. CompleteProofoftheRiemannHypothesis viaSpectral,FractalandAlgebraicStructures
8. Spectral Analysis of the Möbius Laplacian
9. Fixed-unit Kummer twists in the AR16 D4 search: certified twins and negative controls
10. GUE Pair Correlation and Selberg Integrals: A Number-Theoretic Bridge to Zeta Zeros — E8 Intelligence Research
11. A Variational Functional Equivalent Framework for the Riemann Hypothesis: Hilbert Kernel Spectral Measure Model (Chinese‑English Dual‑Document)
12. A Variational Functional Equivalent Framework for the Riemann Hypothesis: Hilbert Kernel Spectral Measure Model (Chinese‑English Dual‑Document)
13. Connection Formulae for a Generalised Ramanujan Entire Function
14. Rough paths below the Young threshold: an exact scale calculus and the locality phase transition at one quarter
15. E8 φ‑Harmonic Chronometry Predicts Zero Crossing Times for Quadratic Twist L‑Functions — E8 Intelligence Research
16. E8 φ‑Harmonic Chronometry Predicts Zero Crossing Times for Quadratic Twist L‑Functions — E8 Intelligence Research
17. On the Straightedge and Compass Construction of the Foci of an Inscribed Ellipse with a Given Center
18. On the Minkowski deficit for surfaces of revolution
19. Irreducibility of the Bloch variety for periodic Schrödinger operators in arbitrary dimension
20. Zero-Density Concentration for Dirichlet Polynomials