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Dictionary

Words, grammatical forms and meanings linked to the ontology.

computational number theory en · PROPN

Meanings

  1. The field of study dealing with computational methods for investigating and solving problems in number theory and arithmetic geometry.
    • 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, https://books.google.com.au/books?id=8u1kx3peO6AC&printsec=frontcover&dq=%22computational+number+theory%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiy0c_SnvjuAhUCyjgGHUIkBnUQ6AEwB3oECCUQAg#v=onepage&q=%22computational%20number%20theory%22&f=false.
    • 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.
    • 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.

Synonyms

algorithmic number theory (field of study dealing with computational methods in number theory)

Translations (9)

pl algorytmiczna teoria liczb (field of study dealing with computational methods in number theory) · de algorithmische Zahlentheorie (field of study dealing with computational methods in number theory) · pt teoria algorítmica dos números (field of study dealing with computational methods in number theory) · it teoria computazionale dei numeri (field of study dealing with computational methods in number theory) · it teoria algoritmica dei numeri (field of study dealing with computational methods in number theory) · fi algoritminen lukuteoria (field of study dealing with computational methods in number theory) · fr théorie algorithmique des nombres (field of study dealing with computational methods in number theory) · fr théorie calculatoire des nombres (field of study dealing with computational methods in number theory) · pt teoria computacional dos números (field of study dealing with computational methods in number theory)