Latest Research in Analytic Number Theory Research

Top Research Topics in Analytic Number Theory Research

• Analytic Number Theory Research — 12 papers
• Differential Geometry — 4 papers
• Spectral Theory in Mathematical Physics — 3 papers
• Intelligence, Security, War Strategy — 3 papers
• Mathematical functions and polynomials — 3 papers
• Mathematical Dynamics and Fractals — 2 papers
• Advanced Mathematical Theories and Applications — 2 papers
• Control Systems and Identification — 2 papers
• Graph theory and applications — 2 papers
• Numerical Methods and Algorithms — 2 papers

Highest-Cited Papers

1. A Spectral-Operator and Lyapunov Proof for the 100% Localization of Non-Trivial Zeros of the Riemann Zeta Function
2. Source-Faithful Finite-Core Reductions for a Hilbert–Pólya Positivity Criterion
3. Spectral Analysis of a Fourier-Regularized Quantum Berry-Keating Hamiltonian and its Connection to the Riemann Hypothesis
4. Simple critical zeros in short intervals: stability, pressure, and parity
5. A Certified Finite Refinement for Simple and Distinct Zeros of the Riemann Zeta Function
6. Spectral Analysis of the Möbius Laplacian
7. A Certified Finite Refinement for Simple and Distinct Zeros of the Riemann Zeta Function
8. A Certified Finite Refinement for Simple and Distinct Zeros of the Riemann Zeta Function
9. GUE Pair Correlation and Selberg Integrals: A Number-Theoretic Bridge to Zeta Zeros — E8 Intelligence Research
10. E8 Root‑Phase Lattice Encodes Metonic and Eclipse Cycles via φ‑Scaled 132 Hz Fibonacci Grid — E8 Intelligence Research
11. Four-dimensional pseudo-umbilical biharmonic submanifolds in the six-dimensional Euclidean space
12. Exact Activation Rank in Multiplicative Excursion Walls: All-Order Boundary Cyclicity, Explicit Finite Caps, and Sharp Low-Order Minors
13. A prime-indexed monotone selection of the Riemann zeros: Real-positive rays of ζ, channel saturation, and Gram's law
14. Precision Quotient 1: Noise-Weighted Identification on a Non-Abelian Network Fibre
15. The Canonical Local Singular Series on Primorial Lattices: Strict Decrease, Crossing Structure, and the Plateau Conjecture
16. Spectral Operator Framework Links Zeta Zeros to Orthogonality, Yet Lacks Geometric Proof — E8 Intelligence Research
17. Independent Reproduction and Convergence Analysis of the Connes-Consani-Moscovici Zeta Spectral Triple
18. A Formal Proof of Navier-Stokes Termination at the Formal-Alone Register
19. The Branch Tree of the Exponential Map Sign Channels, Depletion, Stable Laws and the Arithmetic of Resonances
20. Connected Hankel positivity: two counterexamples and a comparator obstruction