Latest Research in Analytic Number Theory Research

171 research papers · 0.0 average citations · 2026 median publication year

Top Research Topics in Analytic Number Theory Research

Highest-Cited Papers

  1. The Twin Impossibility: Collatz and the Halting Problem — E8 Intelligence Research
  2. A 1.30^d Lower Bound for the Chromatic Number of Euclidean Space (2 citations)
  3. A 1.30^d Lower Bound for the Chromatic Number of Euclidean Space (2 citations)
  4. The Hidden structure of the Clock 🕐
  5. Classical Minor Obstructions in a Nine-Region Census of Two-Layer Cube-Ideal Gluing (2 citations)
  6. The Hidden structure of the Clock 🕐
  7. Linear Congruences and Arithmetic Cycles: A Survey of Methods and Gaps — E8 Intelligence Research
  8. Dihedral Symmetry in Collatz Dynamics Over Finite Fields — E8 Intelligence Research
  9. Prime-Gap Absolute-Difference Dynamics: A Frozen Prime-Composite Permutation Experiment and a Finite Collapse Certificate
  10. Cyclotomic Fields Encode Golden Ratio via 10th Roots of Unity — E8 Intelligence Research
  11. Projecting 5D Lattices to Penrose Tilings via Pentagrids — E8 Intelligence Research
  12. The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence
  13. The Unresolved abc Conjecture: New Proofs, Doubts, and a Fibonacci Link — E8 Intelligence Research
  14. Numberphile Videos on Classical Unsolved Problems, Not New Discoveries — E8 Intelligence Research
  15. On the Asymptotic Density of Fermat Pseudoprimes to a Fixed Base
  16. Bounded intervals containing a given number of primes
  17. A proof of Chvátal's conjecture via a sharp correlation inequality
  18. Cyclotomic Prime Extractors
  19. Asymptotic counting of integers with prime factors $p_{r^a s^b}$
  20. Partitions of the set of prime numbers by forbidden digits: a classification conjecture
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L3 Region - - 2026 Sep Q3

Analytic Number Theory Research

171 papers

Top Topics (10)

Analytic Number Theory Research45
Number Theory23
Benford’s Law and Fraud Detection9
Intelligence, Security, War Strategy8
Mathematics and Applications6
Cryptography and Residue Arithmetic5
Combinatorics5
Polynomial and algebraic computation5
Limits and Structures in Graph Theory4
Advanced Mathematical Theories and Applications4

Top Publications (20)

1.The Twin Impossibility: Collatz and the Halting Problem — E8 Intelligence Research2.A 1.30^d Lower Bound for the Chromatic Number of Euclidean Space2c3.A 1.30^d Lower Bound for the Chromatic Number of Euclidean Space2c4.The Hidden structure of the Clock 🕐5.Classical Minor Obstructions in a Nine-Region Census of Two-Layer Cube-Ideal Gluing2c6.The Hidden structure of the Clock 🕐7.Linear Congruences and Arithmetic Cycles: A Survey of Methods and Gaps — E8 Intelligence Research8.Dihedral Symmetry in Collatz Dynamics Over Finite Fields — E8 Intelligence Research9.Prime-Gap Absolute-Difference Dynamics: A Frozen Prime-Composite Permutation Experiment and a Finite Collapse Certificate10.Cyclotomic Fields Encode Golden Ratio via 10th Roots of Unity — E8 Intelligence Research11.Projecting 5D Lattices to Penrose Tilings via Pentagrids — E8 Intelligence Research12.The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence13.The Unresolved abc Conjecture: New Proofs, Doubts, and a Fibonacci Link — E8 Intelligence Research14.Numberphile Videos on Classical Unsolved Problems, Not New Discoveries — E8 Intelligence Research15.On the Asymptotic Density of Fermat Pseudoprimes to a Fixed Base16.Bounded intervals containing a given number of primes17.A proof of Chvátal's conjecture via a sharp correlation inequality18.Cyclotomic Prime Extractors19.Asymptotic counting of integers with prime factors $p_{r^a s^b}$20.Partitions of the set of prime numbers by forbidden digits: a classification conjecture
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