Paperback. From Gauss to G"del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem. The methods used are from arithmetic algebraic geometry, algebraic number theory and analytic number theory. In particular, the theory of two dimensional Abelian varieties over finite fields is developed. The book will be of interest to both researchers and graduate students in number theory and theoretical computer science. From Gauss to G|del, mathematicians have sought an efficientalgorithm to distinguish prime numbers from compositenumbers. The methods used are fromarithmetic algebraic geometry, algebraic number theory andanalyticnumber theory. In particular, the theory of twodimensional Abelian varieties over finite fields isdeveloped. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Primality Testing and Abelian Varieties Over Finite Fields (Paperback)
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Publication Date: 1992
Language: English
ISBN 10: 3540553088
ISBN 13: 9783540553083
Binding: Paperback
Condition: new

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From Gauss to G|del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem. The methods used are from arithmetic algebraic geometry, algebraic number theory and analyticnumber theory. In particular, the theory of two dimensional Abelian varieties over finite fields is developed. The book will be of interest to both researchers and graduate students in number theory and theoretical computer science.

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