UsefulLinks
Mathematics
Number Theory
1. Foundations of Number Theory
2. Divisibility Theory
3. Prime Numbers and Factorization
4. Greatest Common Divisor and Least Common Multiple
5. Modular Arithmetic and Congruences
6. Classical Theorems in Number Theory
7. Arithmetic Functions
8. Diophantine Equations
9. Quadratic Residues and Reciprocity
10. Prime Number Theory
11. Continued Fractions
12. Elementary Analytic Number Theory
13. Cryptographic Applications
14. Advanced Topics and Connections
14.
Advanced Topics and Connections
14.1.
Algebraic Number Theory
14.1.1.
Algebraic Numbers
14.1.2.
Algebraic Integers
14.1.3.
Number Fields
14.1.4.
Rings of Integers
14.1.5.
Unique Factorization
14.2.
Elliptic Curves
14.2.1.
Basic Definitions
14.2.2.
Group Law
14.2.3.
Rational Points
14.2.4.
Elliptic Curve Cryptography
14.2.5.
Connection to Diophantine Equations
14.3.
Computational Number Theory
14.3.1.
Algorithms and Complexity
14.3.2.
Computer Algebra Systems
14.3.3.
Large Number Arithmetic
14.3.4.
Parallel Algorithms
14.4.
Applications to Other Areas
14.4.1.
Coding Theory
14.4.2.
Combinatorics
14.4.3.
Geometry
14.4.4.
Physics
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13. Cryptographic Applications
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1. Foundations of Number Theory