An Algorithmic Approach
Series: Algorithms and Computation in Mathematics, Vol. 20
Buchmann, Johannes, Vollmer, Ulrich
2007, XIV, 318 p.
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The book deals with algorithmic problems related to binary quadratic forms, such as finding the representations of an integer by a form with integer coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms.
In order to solve those problems, the book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography. It requires only basic mathematical knowledge.
Content Level » Research
Keywords » Number theory - algebra - algebraic number theory - algorithmic number theory - algorithms - cryptography - quadratic forms
Related subjects » Algebra - Number Theory and Discrete Mathematics - Security and Cryptology - Theoretical Computer Science
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