Article
Article
- Mathematics
- Algebra and number theory
- Number theory
Number theory
Article By:
Rosen, Kenneth H. Nokia Bell Laboratories, Holmdel, New Jersey.
Last reviewed:June 2020
DOI:https://doi.org/10.1036/1097-8542.461600
Show previous versions
- Number theory, published January 2014:Download PDF Get Adobe Acrobat Reader
- Elementary number theory
- Perfect numbers and Mersenne primes
- Congruences
- Primality testing and factorization
- Sieves
- 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
The content above is only an excerpt.
for your institution. Subscribe
To learn more about subscribing to AccessScience, or to request a no-risk trial of this award-winning scientific reference for your institution, fill in your information and a member of our Sales Team will contact you as soon as possible.
to your librarian. Recommend
Let your librarian know about the award-winning gateway to the most trustworthy and accurate scientific information.
About AccessScience
AccessScience provides the most accurate and trustworthy scientific information available.
Recognized as an award-winning gateway to scientific knowledge, AccessScience is an amazing online resource that contains high-quality reference material written specifically for students. Contributors include more than 10,000 highly qualified scientists and 46 Nobel Prize winners.
MORE THAN 8700 articles covering all major scientific disciplines and encompassing the McGraw-Hill Encyclopedia of Science & Technology and McGraw-Hill Yearbook of Science & Technology
115,000-PLUS definitions from the McGraw-Hill Dictionary of Scientific and Technical Terms
3000 biographies of notable scientific figures
MORE THAN 19,000 downloadable images and animations illustrating key topics
ENGAGING VIDEOS highlighting the life and work of award-winning scientists
SUGGESTIONS FOR FURTHER STUDY and additional readings to guide students to deeper understanding and research
LINKS TO CITABLE LITERATURE help students expand their knowledge using primary sources of information