Latest Research in Analytic Number Theory Research

Top Research Topics in Analytic Number Theory Research

• Quasicrystal Structures and Properties — 96 papers
• Analytic Number Theory Research — 35 papers
• Differential Geometry — 31 papers
• Advanced Differential Equations and Dynamical Systems — 27 papers
• Geometric and Algebraic Topology — 26 papers
• Homotopy and Cohomology in Algebraic Topology — 25 papers
• Number Theory — 24 papers
• Advanced Mathematical Theories and Applications — 18 papers
• Topological Materials and Phenomena — 15 papers
• Benford’s Law and Fraud Detection — 15 papers

Highest-Cited Papers

1. Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification
2. Pythagorean Triples and the Circle
3. Prime-power checkpoints for the Riemann zeta screw function: Plastic-Constant Convexity and a Restricted Legendre--Mangoldt Representation
4. Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification
5. Fourier dimension of Mandelbrot cascades on planar curves
6. Pythagorean Triples and the Circle
7. The Non-Linear Maier Matrix Topology: An Analytic Langlands No-Go Theorem and the Geometric Langlands Reduction of Legendre's Conjecture
8. A Finite Computer-Assisted Verification of Robin's Inequality via Colossally Abundant Profiles, with Exact Prime-Power Residual Dynamics
9. Closing the per-field reduction: collar contraction, the stretched road, and a certified minimax for the complex sin²-algorithm
10. The Birch–Swinnerton-Dyer Conjecture via the Θ-Isomorphism and Arithmetic–Analytic Volume Correspondence
11. Prime-power checkpoints for the Riemann zeta screw function: Plastic-Constant Convexity and Legendre--Mangoldt Duality
12. The Non-Linear Maier Matrix Topology: An Analytic Langlands No-Go Theorem and the Geometric Langlands Reduction of Legendre's Conjecture
13. A Finite Computer-Assisted Verification of Robin's Inequality via Colossally Abundant Profiles, with Exact Prime-Power Residual Dynamics
14. Z₂ Fiber Bundle with Holonomy −1 Links Spinor Structure to φ and π/3 — E8 Intelligence Research
15. Logarithmic $A$-hypergeometric series ${\textrm I}\! {\textrm I}\! {\textrm I}$
16. Zariski density of discrete subgroups via critical exponents and unitary representations
17. A strict gap above the Brito--Chacon--Naveira bound for the Sasaki volume on higher odd spheres
18. Minimal-Norm Extensions of Stationary Kernels on Subgroups of Locally Compact Abelian Groups and Gaussian Conditioning
19. Sparse Random Covers and Growth of Torsion in First Homology
20. Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks