Latest Research in Combinatorial Number Theory and Prime Dynamics

Top Research Topics in Combinatorial Number Theory and Prime Dynamics

• Combinatorics — 314 papers
• Quasicrystal Structures and Properties — 309 papers
• Number Theory — 297 papers
• Analytic Number Theory Research — 224 papers
• History and Theory of Mathematics — 204 papers
• Benford’s Law and Fraud Detection — 177 papers
• Functional Analysis — 159 papers
• Group Theory — 126 papers
• Advanced Mathematical Theories and Applications — 126 papers
• Mathematics and Applications — 110 papers

Highest-Cited Papers

1. Extending Willans’ Formula to Twin Primes and Beyond (1 citations)
2. After Turing: The Fold Machine - An Exact, Parameter-Free and Machine-Closed Derivation of Classical Computational Science from Smithian Fold Theory (2 citations)
3. Matrix concentration inequalities and free probability II: Two-sided bounds and applications (2 citations)
4. After Turing: The Fold Machine (2 citations)
5. The Szendrei expansion of restriction semigroupoids (1 citations)
6. After Turing: The Fold Machine - An Exact, Parameter-Free and Machine-Closed Derivation of Classical Computational Science from Smithian Fold Theory (2 citations)
7. The Electron Alphabet, the Cayley–Hypercube Family, and a Threefold Characterisation of n=4: Towards a Combinatorial Language Layer for the PDL-V Programme (1 citations)
8. Structural Lemmas for the First-Prime Window of the Weil Quadratic Form
9. Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification
10. Structural Lemmas for the First-Prime Window of the Weil Quadratic Form
11. The Faber-Krahn position of convex bodies and Gaussian measure inequalities
12. Families of Eliahou semigroups linked to Farey intervals
13. RM-ABC Conjecture ver3
14. Counterexamples to Problem 17.102 of the Kourovka Notebook: Negation and Discussion of Separability Conditions in Infinite Groups
15. Symmetric lexicographic symmetric-subset reverse search for the enumeration of circuits, cocircuits, and triangulations up to symmetry
16. Guess my number! From binary tricks to general base representations, how many cards are needed?
17. Inconsistency of ℕ
18. The Ultimate Coupling Law of 8-Ridge Conch Topology and π³ Third-Order Field — A Complete Closed System of 100 Prime-π Topology Weld Points, 100 Formulas and 100 Primitive Constants (Final PDSM System)
19. Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification
20. An Explicit Eventual p4-Divisibility Theorem for an Apéry-Type Numerator Family

Sub-Regions

• Combinatorics — 1,103 papers
• History and Theory of Mathematics — 768 papers
• Analytic Number Theory Research — 722 papers
• Group Theory — 653 papers
• Number Theory — 584 papers
• Quasicrystal Structures and Properties — 448 papers