Latest Research in Number Theory

Top Research Topics in Number Theory

• Analytic Number Theory Research — 51 papers
• Number Theory — 48 papers
• Combinatorics — 25 papers
• Benford’s Law and Fraud Detection — 23 papers
• Advanced Mathematical Identities — 19 papers
• Algebraic Geometry and Number Theory — 19 papers
• Advanced Combinatorial Mathematics — 17 papers
• Quasicrystal Structures and Properties — 14 papers
• Polynomial and algebraic computation — 11 papers
• Mathematics and Applications — 10 papers

Highest-Cited Papers

1. The Modular Group's Symmetry Engine: Elliptic Curves, Modular Forms, and Fermat's Last Theorem — E8 Intelligence Research
2. Modular Congruences for Generalized Cubic Partitions and Plane Partition Diamonds — E8 Intelligence Research
3. Cyclotomic Aperiodic Substitution Tilings Unify Finite Rotational Symmetries — E8 Intelligence Research
4. Artin's Conjecture: Density Formula via Prime Local Factors — E8 Intelligence Research
5. Euler Product and Artin's Constant: Bridging Zeta and Primitive Roots — E8 Intelligence Research
6. Cyclotomic Aperiodic Substitution Tilings Unify Finite Rotational Symmetries — E8 Intelligence Research
7. Modular Congruences for Generalized Cubic Partitions and Plane Partition Diamonds — E8 Intelligence Research
8. Sharp-Order Closed-CPSD Separation for Odd-Prism Context Matrices
9. Relating Different Definitions of Linear Series on Tropical Curves
10. Pandrosion for 𝑝-th Roots
11. Quadratic Twists, BSD, and the Congruent Number Problem — E8 Intelligence Research
12. Where the character values of Sp(2m) at a torsion element fail to generate the ring of integers
13. Where the character values of Sp(2m) at a torsion element fail to generate the ring of integers
14. The Bochner-Eberlein-Doss property for θ-Lau product of Banach algebras
15. Hecke Operators and New Partition Congruences Mod 7 and 11 — E8 Intelligence Research
16. Linear Congruences and Arithmetic Cycles: A Survey of Methods and Gaps — E8 Intelligence Research
17. A note on congruences modulo 7 and 11 for two restricted partition functions
18. On the ACC for Minimal Log Discrepancies for Bounded Generalized Sub-Pairs
19. Four Special Directions in AG(2,13): The 52-Point Obstruction and the Sharp Minimum
20. On maximal Dynkin friezes