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  3. Algorithmic Number Theory
  • Cited by 2
Publisher:
Cambridge University Press
Online publication date:
May 2025
Print publication year:
2008
Online ISBN:
9781139049801
DOI:
https://doi.org/10.1017/9781139049801
Subjects:
Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Real and Complex Analysis, Computer Science, Number Theory
Series:
Mathematical Sciences Research Institute Publications (44)
Information

Book description

Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field with connections to computer science and cryptography as well as other areas of mathematics. This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes several articles that cover the essential topics in this area, and in addition, there are contributions pointing in broader directions, including cryptography, computational class field theory, zeta functions and L-series, discrete logarithm algorithms, and quantum computing.

Reviews

Review of the hardback:'… can be warmly recommended to anyone interested in the fascinating area of computational number theory.'

Source: EMS Newsletter

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