Algorithmic Number Theory: Efficient algorithms

Algorithmic Number Theory: Efficient algorithms PDF Author: Eric Bach
Publisher: MIT Press
ISBN: 9780262024051
Category : Computers
Languages : en
Pages : 536

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Book Description
Volume 1.

Algorithmic Number Theory: Efficient algorithms

Algorithmic Number Theory: Efficient algorithms PDF Author: Eric Bach
Publisher: MIT Press
ISBN: 9780262024051
Category : Computers
Languages : en
Pages : 536

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Book Description
Volume 1.

Algorithmic Number Theory

Algorithmic Number Theory PDF Author: J. P. Buhler
Publisher: Cambridge University Press
ISBN: 0521808545
Category : Computers
Languages : en
Pages : 653

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Book Description
An introduction to number theory for beginning graduate students with articles by the leading experts in the field.

Algorithmic Number Theory

Algorithmic Number Theory PDF Author: Duncan Buell
Publisher: Springer Science & Business Media
ISBN: 3540221565
Category : Computers
Languages : en
Pages : 461

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Book Description
This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004. The 30 revised full papers presented together with 3 invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are zeta functions, elliptic curves, hyperelliptic curves, GCD algorithms, number field computations, complexity, primality testing, Weil and Tate pairings, cryptographic algorithms, function field sieve, algebraic function field mapping, quartic fields, cubic number fields, lattices, discrete logarithms, and public key cryptosystems.

Algorithmic Algebraic Number Theory

Algorithmic Algebraic Number Theory PDF Author: M. Pohst
Publisher: Cambridge University Press
ISBN: 9780521596695
Category : Mathematics
Languages : en
Pages : 520

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Book Description
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.

Algorithmic Number Theory

Algorithmic Number Theory PDF Author: Florian Hess
Publisher: Springer Science & Business Media
ISBN: 3540360751
Category : Computers
Languages : en
Pages : 609

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Book Description
This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, Germany in July 2006. The 37 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.

Algorithmic Number Theory

Algorithmic Number Theory PDF Author: Wieb Bosma
Publisher: Springer
ISBN: 3540449949
Category : Mathematics
Languages : en
Pages : 612

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Book Description
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.

Complexity Theory

Complexity Theory PDF Author: Ingo Wegener
Publisher: Springer
ISBN: 9783642059148
Category : Computers
Languages : en
Pages : 308

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Book Description
Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design

Algorithmic Number Theory

Algorithmic Number Theory PDF Author: Guillaume Hanrot
Publisher: Springer Science & Business Media
ISBN: 3642145175
Category : Computers
Languages : en
Pages : 407

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Book Description
This book constitutes the refereed proceedings of the 9th International Algorithmic Number Theory Symposium, ANTS 2010, held in Nancy, France, in July 2010. The 25 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

Number-Theoretic Algorithms in Cryptography

Number-Theoretic Algorithms in Cryptography PDF Author: Oleg Nikolaevich Vasilenko
Publisher: American Mathematical Soc.
ISBN: 9780821840900
Category : Language Arts & Disciplines
Languages : en
Pages : 274

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Book Description
Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; and, algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.

Algorithmic Number Theory

Algorithmic Number Theory PDF Author: Joe P. Buhler
Publisher: Springer Science & Business Media
ISBN: 9783540646570
Category : Computers
Languages : en
Pages : 660

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Book Description
The field of diagnostic nuclear medicine has changed significantly during the past decade. This volume is designed to present the student and the professional with a comprehensive update of recent developments not found in other textbooks on the subject. The various clinical applications of nuclear medicine techniques are extensively considered, and due attention is given also to radiopharmaceuticals, equipment and instrumentation, reconstruction techniques and the principles of gene imaging.