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Catalogue Information
Field name	Details
Dewey Class	512.7
Title	Primality Testing and Abelian Varieties Over Finite Fields ([EBook] /) / by Leonard M. Adleman, Ming-Deh A. Huang.
Author	Adleman, Leonard M.
Added Personal Name	Huang, Ming-Deh A. author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1992.
Physical Details	VIII, 144 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1512
ISBN	9783540470212
Summary Note	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.:
Contents note	Acknowledgement -- Overview of the algorithm and the proof of the main theorem -- Reduction of main theorem to three propositions -- Proof of proposition 1 -- Proof of proposition 2 -- Proof of proposition 3.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0090185
Links to Related Works	Subject References: Arithmetic and Logic Structures . Arithmetic and logic units, Computer . Combinatorics . Computers . Mathematics . Number Theory . Theory of Computation . Authors: Adleman, Leonard M. . Huang, Ming-Deh A. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.7 .

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Primality Testing and Abelian Varieties Over Finite Fields

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