Latest Research in Analytic Number Theory Research

Top Research Topics in Analytic Number Theory Research

• Combinatorics — 177 papers
• Number Theory — 78 papers
• Group Theory — 40 papers
• Analytic Number Theory Research — 35 papers
• Logic — 34 papers
• Quasicrystal Structures and Properties — 31 papers
• Advanced Combinatorial Mathematics — 17 papers
• Algebraic Geometry and Number Theory — 12 papers
• Polynomial and algebraic computation — 12 papers
• Benford’s Law and Fraud Detection — 11 papers

Highest-Cited Papers

1. Extending Willans’ Formula to Twin Primes and Beyond (1 citations)
2. Locality in Residuated-Lattice Structures
3. Counterexamples to Problem 17.102 of the Kourovka Notebook: Negation and Discussion of Separability Conditions in Infinite Groups
4. Symmetric lexicographic symmetric-subset reverse search for the enumeration of circuits, cocircuits, and triangulations up to symmetry
5. An Explicit Eventual p4-Divisibility Theorem for an Apéry-Type Numerator Family
6. Structural analysis of the signless Brouwer conjecture: projection thresholds, extremal families, and the Laplacian–signless gap
7. Structural analysis of the signless Brouwer conjecture: projection thresholds, extremal families, and the Laplacian–signless gap
8. On the sum of a prime and a number that is not square-free
9. Tight Lower Bound for Pattern Avoidance and Symmetric Functions
10. Hamilton cycles of semisymmetric graphs of order $2p^3$
11. Tennenbaum-like theorems for cohesive powers
12. Effective powers of $ω$ over $Δ_2$ cohesive sets and infinite $Π_1$ sets without $Δ_2$ cohesive subsets
13. Exponential sums over primes are unbounded
14. Two-Dimensional Faces of Order and Chain Polytopes
15. The extended future cover and desynchronization of sofic shifts
16. Explicit bounds for the graphicality of the prime gap sequence
17. The word problem for two-generator one-relator inverse monoids
18. A bijective proof of a partition theorem of Berkovich and Uncu
19. The Bi-UFS Positive Conjecture for algebraic semidomains
20. Invariant Projections on Cycle Spaces of Polyhedral Graphs: An Orbit-Count Formula and a Characterisation of the Regular Solids