Latest Research in Number Theory

Top Research Topics in Number Theory

• Differential Geometry — 14 papers
• Number Theory — 5 papers
• Analytic Number Theory Research — 5 papers
• Dynamical Systems — 4 papers
• Mathematical functions and polynomials — 4 papers
• Holomorphic and Operator Theory — 2 papers
• Advanced Mathematical Theories and Applications — 2 papers
• Numerical Methods and Algorithms — 2 papers
• Polynomial and algebraic computation — 2 papers
• Advanced Algebra and Geometry — 1 papers

Highest-Cited Papers

1. Source-Faithful Finite-Core Reductions for a Hilbert–Pólya Positivity Criterion
2. Collatz Conjecture: Recent Proofs, Reformulations, and Persistent Openness — E8 Intelligence Research
3. Retro-synthetic Riemannian geometry in Rocq I : Taylor series of a metric
4. Spectral properties for critical metrics of the volume functional
5. Cyclicity of sliding cycles in regularizations of piecewise linear two-folds
6. Beyond Poincar{é} recurrence: on a topological trichotomy of orbits and on the dependence of limit sets for flows on surfaces
7. The Projective Residue as a Schur Complement: Reduction of the Generation Split to the Chiral Asymmetry of Projection Locking
8. Exact Finite-Observation Collisions for Symmetric Zero Multisets
9. On the Straightedge and Compass Construction of the Foci of an Inscribed Ellipse with a Given Center
10. Weighted volume monotonicity and isoperimetric comparison under a lower Ricci curvature bound
11. Generalized amenability in quantum groups
12. A prime-indexed monotone selection of the Riemann zeros: Real-positive rays of ζ, channel saturation, and Gram's law
13. Hilbert-Polya Finite-N-Locked Proof of the Riemann Hypothesis v4.6-traditional
14. Hilbert-Polya Finite-N-Locked Proof of the Riemann Hypothesis v4.6-traditional
15. Optimising Selberg's method for critical zeros
16. Uniform bounds for bubbles of neutral quadratic polynomials
17. Hadamard Rigidity and Sharp Stability in the Completely Bounded Bohnenblust--Hille Inequality
18. A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere
19. Axioms of Quantum Mechanics in light of Continuous Model Theory
20. The curl-Yamabe problem