
Suggested readings in Algorithmic number theory
This list was provided by the organizers of the Fall 2000
program in Algorithmic number theory.
Editor: Adleman, Leonard M. / Huang, Ming-Deh A.
Title: Algorithmic number theory : first international symposium,
ANTS-I, Ithaca, NY, USA, May 6-9, 1994 : proceedings
Publ: Springer-Verlag
Year: c1994
Series: Lecture notes in computer science
SerNo: 877
Status: HERE
Author: Bach, Eric / Shallit, Jeffrey Outlaw.
Title: Algorithmic number theory, v. 1: Efficient algorithms
Publ: MIT Press
Year: c1996
Series: Foundations of computing
Status: HERE
Author: Brassard, Gilles
Title: Modern cryptology : a tutorial
Publ: Springer-Verlag
Year: 1988.
Series: Lecture notes in computer science
SerNo: 325
Status: OP
Editor: Bosma, Wieb
Title: Algorithmic number theory : 4th international symposium, ANTS-IV,
Leiden, the Netherlands, July 2-7, 2000 : proceedings
Publ: Springer
Year: 2000
Series: Lecture notes in computer science
SerNo: 1838
Status: ORDERED 000923
Editor: Buhler, Joe P., 1950-
Title: Algorithmic number theory : third international symposium,
ANTS-III, Portland, Oregon, USA, June 21-25, 1998 : proceedings
Publ: Springer
Year: c1998
Series: Lecture notes in computer science
SerNo: 1423
Status: HERE
Editor: Cassels, J. W. S. (John William Scott) ed. / Frölich, Albrecht ed.
Title: Algebraic number theory; proceedings of an instructional conference
Publ: Academic Press
Year: 1967
Status: HERE
Author: Cassels, J. W. S. (John William Scott) / Flynn, E. V.
Title: Prolegomena to a middlebrow arithmetic of curves of genus 2
Publ: Cambridge University Press
Year: 1996
Series: London Mathematical Society lecture note series
SerNo: 230
Status: HERE
Author: Cohen, Henri
Title: A course in computational algebraic number theory
Publ: Springer-Verlag
Year: c1993
Series: Graduate texts in mathematics
SerNo: 138
Status: HERE
Author: Cohen, Henri.
Title: Advanced topics in computational number theory
Publ: Springer
Year: 1999
Series: Graduate texts in mathematics
SerNo: 193
Status: HERE
Editor: Cohen, Henri.
Title: Algorithmic number theory : second internati[o]nal symposium,
ANTS-II, Talence, France, May 18-23, 1996 : proceedings
Publ: Springer
Year: c1996
Series: Lecture notes in computer science
SerNo: 1122
Status: HERE
Editor: Cornell, Gary / Silverman, Joseph H., 1955- / Stevens, Glenn, 1953-
Title: Modular forms and Fermat's last theorem
Publ: Springer
Year: c1997
Status: HERE
Editor: Cornell, Gary / Silverman, Joseph H., 1955-
Title: Arithmetic geometry
Publ: Springer-Verlag
Year: c1986
Status: HERE
Author: Ding, C. (Cunsheng), 1962- / P°ei, Ting-i. / Salomaa, Arto.
Title: Chinese remainder theorem : applications in computing, coding,
cryptography
Publ: World Scientific
Year: c1996
Status: HERE
Author: von zur Gathen, J. / Gerhard, J.
Title: Modern computer Algebra
Publ: Cambridge University Press
Year: 1999
ISBN: 0521641764
Status: ORDERED 000923
Author: Goss, David, 1952-
Title: Basic structures of function field arithmetic
Publ: Springer
Year: 1998
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
SerNo: 35
Status: HERE
Author: Hartshorne, Robin
Title: Algebraic geometry / Robin Hartshorne.
Publ: Springer-Verlag
Year: c1977
Series: Graduate texts in mathematics
SerNo: 52
Status: HERE
Author: Koblitz, Neal, 1948-
Title: A course in number theory and cryptography
Publ: Springer-Verlag
Year: c1987
Series: Graduate texts in mathematics
SerNo: 114
Status: HERE
Author: Lang, Serge, 1927-
Title: Introduction to modular forms
Publ: Springer-Verlag
Year: 1976
Series: Grundlehren der mathematischen Wissenschaften
SerNo: 222
Status: HERE
Editor: Lenstra, H. W. / Tijdeman, R.
Title: Computational methods in number theory
Publ: Mathematisch Centrum (Amsterdam)
Year: 1982
Series: Mathematical Centre tracts
SerNo: 154-155
Status: HERE
Author: Lenstra, A. K. (Arlen K.), 1956- / Lenstra, H. W.
Title: The development of the number field sieve
Publ: Springer-Verlag
Year: c1993
Series: Lecture notes in mathematics
SerNo: 1554
Status: HERE
Author: Lidl, Rudolf / Niederreiter, Harald, 1944-
Title: Finite fields / Rudolf Lidl, Harald Niederreiter
Publ: Addison-Wesley
Year: 1983
Series: Encyclopedia of mathematics and its applications
SerNo: 20
Status: HERE
Editor: van Lint, J. H. / Tijdeman, R.
Title: Cryptography & Data Protection
Series: Verhandelingen der Koninklijke Nederland
SerNo: 38
ISBN: 044485746X
Status: Out of print
Author: Menezes, A. J.
Title: Elliptic curve public key cryptosystems
ISBN: 0792393686
Publ: Kluwer
Status: ORDERED 000923
Author: Menezes, A. J. / P.C. van Oorschot / S.A. Vanstone
Title: Handbook of applied cryptography
Publ: CRC Press
Year: 1997
ISBN: 0849385237
Status: ORDERED 000923
Editor: Menezes, A. J. (Alfred J.), 1965-
Title: Applications of finite fields
Publ: Kluwer Academic Publishers
Year: c1993
Series: The Kluwer international series in engineering and computer science: Communications and information theory
SerNo: SECS199
Status: HERE
Editor: Loxton, J. H.
Title: Number theory and cryptography
Publ: Cambridge University Press
Year: 1990
Series: London Mathematical Society lecture note series
SerNo: 154
Status: OP (SEARCHING)
Author: Pohst, Michael E.
Title: Computational algebraic number theory
Publ: Birkhäuser
Year: 1993
ISBN: 0817629130
Status: ORDERED 000923
Author: Pohst, M. / Zassenhaus, Hans
Title: Algorithmic algebraic number theory / M. Pohst, H. Zassenhaus.
Publ: Cambridge University Press
Year: 1989
Series: Encyclopedia of mathematics and its applications
Status: HERE
Editor: Pomerance, Carl / Goldwasser, S. (Shafi), 1958-
Title: Cryptology and computational number theory
Publ: American Mathematical Society
Year: c1990
Series: Proceedings of symposia in applied mathematics
SerNo: 42
Status: HERE
Author: Riesel, Hans, 1929-
Title: Prime numbers and computer methods for factorization
Publ: Birkhäuser
Year: 1985
Series: Progress in mathematics
SerNo: 57
Status: HERE
Author: Silverman, Joseph H., 1955- / Tate, John Torrence, 1925-
Title: Rational points on elliptic curves
Publ: Springer-Verlag
Year: c1992
Series: Undergraduate texts in mathematics
Status: HERE
Author: Silverman, Joseph H., 1955-
Title: Advanced topics in the arithmetic of elliptic curves
Publ: Springer-Verlag
Year: c1994
Series: Graduate texts in mathematics
SerNo: 151
Status: HERE
Author: Silverman, Joseph H., 1955-
Title: The arithmetic of elliptic curves
Publ: Springer-Verlag
Year: c1986
Series: Graduate texts in mathematics
SerNo: 106
Status: HERE
Author: Smart, Nigel P. (Nigel Paul), 1967-
Title: The algorithmic resolution of diophantine equations
Publ: Cambridge University Press
Year: 1998
Series: London Mathematical Society student texts
SerNo: 41
Status: HERE
Author: Zimmer, Horst G.
Title: Computational problems, methods, and results in algebraic number theory
Publ: Springer-Verlag
Year: 1972
Series: Lecture notes in mathematics
SerNo: 262
Status: HERE
Everything by Diophantus, Fermat (there is a new edition of his
number theory!! in French, strongly recommended), Euler
(his Algebra!!), Grothendieck, Serre, Weil.