Latest Research in Analytic Number Theory Research

167 research papers · 0.2 average citations · 2026 median publication year

Top Research Topics in Analytic Number Theory Research

Highest-Cited Papers

  1. The Depth of Almost Nothing: Near-Null Geometry in a Prime–Archimedean System
  2. The Depth of Almost Nothing: Near-Null Geometry in a Prime–Archimedean System
  3. Collatz Conjecture: Recent Proofs, Reformulations, and Persistent Openness — E8 Intelligence Research
  4. Spectral Proof of the Riemann Hypothesis via Self-Adjointness of the Evidence Hamiltonian in UROA
  5. Maya Theorems: RENASCENT-Q Theory explained, v.5 — thirteen circles, hired occupancy pairing, and the geometric current as an occupancy bill
  6. The Möbius and Klein Transforms: Spectral Analysis on Non-Orientable Manifolds (26 citations)
  7. Pfaffian Phase Geometry of Residual Gauges in Port-expanded Network Quotients
  8. Quartic Contact in an Even Polynomial Heat Flow: Parts I–IV with Companion Archive
  9. Unifying Conic Polarity, Isogonal Conjugates, and Circular Points via Projective Involutions — E8 Intelligence Research
  10. Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry (2 citations)
  11. Quartic Contact in an Even Polynomial Heat Flow: Parts I–III with Companion Archive
  12. Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry (2 citations)
  13. A vanishing lemma for doubled plaquettes touching a loop edge, in Weingarten calculus for SO(m)
  14. Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces
  15. Unitary and Nonunitary A-D-E minimal models: Coset graph fusion algebras, defects, entropies, SREEs and dilogarithm identities
  16. Isolated singularities of the capillary equation with negative gravity
  17. A singularity theorem in terms of asymptotic expansion
  18. Algebraic Complexity and Black Hole Complementarity
  19. A Determinant-Line Interpretation of the Equal-Trace Constraint in Division-Algebraic Standard Model Symmetries
  20. Spectral Capacity and Edge–Bulk Laws for Berezin Quantization
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L3 Region - - 2026 Sep Q3

Analytic Number Theory Research

167 papers
0.2 avg cites

Top Topics (10)

Analytic Number Theory Research8
advanced mathematical theories7
High Energy Physics - Theory7
Spectral Theory in Mathematical Physics6
Topological Materials and Phenomena6
Polynomial and algebraic computation5
Differential Geometry5
Nonlinear Waves and Solitons5
Topological and Geometric Data Analysis5
Quantum and Classical Electrodynamics4

Top Publications (20)

1.The Depth of Almost Nothing: Near-Null Geometry in a Prime–Archimedean System2.The Depth of Almost Nothing: Near-Null Geometry in a Prime–Archimedean System3.Collatz Conjecture: Recent Proofs, Reformulations, and Persistent Openness — E8 Intelligence Research4.Spectral Proof of the Riemann Hypothesis via Self-Adjointness of the Evidence Hamiltonian in UROA5.Maya Theorems: RENASCENT-Q Theory explained, v.5 — thirteen circles, hired occupancy pairing, and the geometric current as an occupancy bill6.The Möbius and Klein Transforms: Spectral Analysis on Non-Orientable Manifolds26c7.Pfaffian Phase Geometry of Residual Gauges in Port-expanded Network Quotients8.Quartic Contact in an Even Polynomial Heat Flow: Parts I–IV with Companion Archive9.Unifying Conic Polarity, Isogonal Conjugates, and Circular Points via Projective Involutions — E8 Intelligence Research10.Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry2c11.Quartic Contact in an Even Polynomial Heat Flow: Parts I–III with Companion Archive12.Asymptotic Sufficiency Depth, Volume V: From a Fixed Borel Benchmark to Regime-Dependent Resurgent Geometry2c13.A vanishing lemma for doubled plaquettes touching a loop edge, in Weingarten calculus for SO(m)14.Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces15.Unitary and Nonunitary A-D-E minimal models: Coset graph fusion algebras, defects, entropies, SREEs and dilogarithm identities16.Isolated singularities of the capillary equation with negative gravity17.A singularity theorem in terms of asymptotic expansion18.Algebraic Complexity and Black Hole Complementarity19.A Determinant-Line Interpretation of the Equal-Trace Constraint in Division-Algebraic Standard Model Symmetries20.Spectral Capacity and Edge–Bulk Laws for Berezin Quantization
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