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Computational number theory
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==Further reading== * Michael E. Pohst (1993): ''Computational Algebraic Number Theory'', Springer, ISBN 978-3-0348-8589-8 *{{cite book | author1 = Eric Bach | author1-link = Eric Bach | author2 = Jeffrey Shallit | author2-link = Jeffrey Shallit | title = Algorithmic Number Theory, Volume 1: Efficient Algorithms | publisher = MIT Press | year = 1996 | isbn = 0-262-02405-5 | url = https://cs.uwaterloo.ca/~shallit/ant.html }} *{{cite book | author = David M. Bressoud | authorlink = David Bressoud | title = Factorisation and Primality Testing | publisher = Springer-Verlag | year = 1989 | isbn = 0-387-97040-1 | url-access = registration | url = https://archive.org/details/factorizationpri0000bres }} * {{cite book | editor1 = Joe P. Buhler | editor1-link = Joe P. Buhler | editor2 = Peter Stevenhagen | title = Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography | series = MSRI Publications | volume = 44 | publisher = [[Cambridge University Press]] | year = 2008 | isbn = 978-0-521-20833-8 | zbl = 1154.11002 | url = https://www.cambridge.org/us/academic/subjects/mathematics/number-theory/algorithmic-number-theory-lattices-number-fields-curves-and-cryptography?format=HB&isbn=9780521808545 }} * {{cite book | author = Henri Cohen | author-link = Henri Cohen (number theorist) | title = A Course In Computational Algebraic Number Theory | year = 1993 | isbn = 0-387-55640-0 | publisher = [[Springer-Verlag]] | series = [[Graduate Texts in Mathematics]] | volume = 138 | doi = 10.1007/978-3-662-02945-9 }} * {{cite book | author = Henri Cohen | author-link = Henri Cohen (number theorist) | title = Advanced Topics in Computational Number Theory | year = 2000 | isbn = 0-387-98727-4 | publisher = [[Springer-Verlag]] | series = [[Graduate Texts in Mathematics]] | volume = 193 | doi = 10.1007/978-1-4419-8489-0 }} * {{cite book | author = Henri Cohen | author-link = Henri Cohen (number theorist) | title = Number Theory – Volume I: Tools and Diophantine Equations | year = 2007 | isbn = 978-0-387-49922-2 | publisher = [[Springer-Verlag]] | series = [[Graduate Texts in Mathematics]] | volume = 239 | doi = 10.1007/978-0-387-49923-9 }} * {{cite book | author = Henri Cohen | author-link = Henri Cohen (number theorist) | title = Number Theory – Volume II: Analytic and Modern Tools | year = 2007 | isbn = 978-0-387-49893-5 | publisher = [[Springer-Verlag]] | series = [[Graduate Texts in Mathematics]] | volume = 240 | doi = 10.1007/978-0-387-49894-2 }} * {{cite book | author1 = Richard Crandall | author1-link = Richard Crandall | author2 = Carl Pomerance | author2-link = Carl Pomerance | title = Prime Numbers: A Computational Perspective | publisher = Springer-Verlag | year = 2001 | isbn = 0-387-94777-9 | doi = 10.1007/978-1-4684-9316-0 }} * {{cite book | author = Hans Riesel | authorlink = Hans Riesel | title = Prime Numbers and Computer Methods for Factorization | edition = second | publisher = Birkhäuser | year = 1994 | isbn = 0-8176-3743-5 | zbl = 0821.11001 | series = Progress in Mathematics | volume = 126 }} * {{cite book | author = Victor Shoup | author-link = Victor Shoup | title = A Computational Introduction to Number Theory and Algebra | publisher = [[Cambridge University Press]] | year = 2012 | isbn = 9781139165464 | doi = 10.1017/CBO9781139165464 | url = http://www.shoup.net/ntb/ }} * {{cite book | author = Samuel S. Wagstaff, Jr. | authorlink = Samuel S. Wagstaff, Jr. | title = The Joy of Factoring | publisher = American Mathematical Society | year = 2013 | isbn = 978-1-4704-1048-3 | url = https://www.ams.org/bookpages/stml-68 }} * Peter Giblin (1993): ''Primes and Programming: An Introduction to Number Theory with Computing'', Cambridge University Press, ISBN 0-521-40988-8 * Nigel P. Smart (1998): ''The Algorithmic Resolution of Diophantine Equations'', Cambridge University Press, ISBN 0-521-64633-2 * Ramanujachary Kumanduri and Cristina Romero (1998): ''Number Theory with Computer Applications'', Prentice Hall, ISBN 0-13-801812-X * Fernando Rodriguez Villegas (2007): ''Experimental Number Theory'', Oxford University Press, ISBN 978-0-19-922730-3 * Harold M. Edwards (2008): ''Higher Arithmetic: An Algorithmic Introduction to Number Theory'', American Mathematical Society, ISBN 978-1-4704-2153-3 * Lasse Rempe-Gillen and Rebecca Waldecker (2014). ''Primality Testing for Beginners''. American Mathematical Society. ISBN 978-0-8218-9883-3
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