computational number theory
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English
Proper noun
- (mathematics, number theory) The field of study dealing with computational methods for investigating and solving problems in number theory and arithmetic geometry.
- Topics studied in computational number theory include algorithms for primality testing and integer factorisation, finding solutions to Diophantine equations and explicit methods in arithmetic geometry.
- Computational number theory has applications in cryptography, including RSA, elliptic curve cryptography and post-quantum cryptography, and is used to investigate conjectures and open problems in number theory, including the Riemann hypothesis.
- 1990, Carl Pomerance, editor, Proceedings of Symposia in Applied Mathematics, Volume 42: Cryptology and Computational Number Theory, American Mathematical Society:
- 1994, Hari Krishna, Bal Krishna, Kuo-Yu Lin, Jenn-Dong Sun, Computational Number Theory and Digital Signal Processing: Fast Algorithms and Error Control Techniques, CRC Press, .
- 2001, Kazimierz Alster, Jerzy Urbanowicz, Hugh C. Williams, editors, Public-Key Cryptography and Computational Number Theory: Proceedings of the International Conference, Walter de Gruyter:
Synonyms
- (field of study dealing with computational methods in number theory): algorithmic number theory
Translations
field of study dealing with computational methods in number theory
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