Rosen, Kenneth H. Nokia Bell Laboratories, Holmdel, New Jersey.
Last reviewed:June 2020
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- Elementary number theory
- Perfect numbers and Mersenne primes
- Primality testing and factorization
- Primitive roots and discrete logarithms
- Quadratic resides and reciprocity
- Quadratic forms
- Sums of squares and similar representations
- Diophantine equations
- Algebraic number theory
- Analytic number theory
- Diophantine approximation
- Additive number theory
- Related Primary Literature
- Additional Reading
The study of the properties and relationships between integers and other special types of numbers. There are many sets of positive integers of particular interest, such as the primes and the perfect numbers. Number theory, of ancient and continuing interest for its intrinsic beauty, also plays a crucial role in computer science, particularly in the area of cryptography. See also: Cryptography; Mathematics
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