Primality Testing and Abelian Varieties Over Finite Fields (Lecture Notes in Mathematics, 1512)

Adleman, Leonard M.; Huang, Ming-Deh A.

ISBN 10: 3540553088 / ISBN 13: 9783540553083

Published by Springer, 1992

About this Item

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Bibliographic Details

• Title: Primality Testing and Abelian Varieties Over Finite Fields (Lecture Notes in Mathematics, 1512)
• Publisher: Springer
• Publication Date: 1992
• Language: English
• ISBN 10: 3540553088
• ISBN 13: 9783540553083
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.