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Analytic Methods in the Analysis and Design of Number Theoretic Algorithms By Eric Bach,

  • Title: Analytic Methods in the Analysis and Design of Number Theoretic Algorithms
  • Author: Eric Bach
  • ISBN: 9780262022194
  • Page: 324
  • Format: Hardcover
  • This book makes a substantial contribution to the understanding of a murky area of number theory that is important to computer science, an area relevant to the design and analysis of number theoretic algorithms and to the construction of cryptographic protocols.Contents Introduction 1 Explicit Bounds for Primality Testing Ankeny s Theorem and its Algorithmic ConsequencThis book makes a substantial contribution to the understanding of a murky area of number theory that is important to computer science, an area relevant to the design and analysis of number theoretic algorithms and to the construction of cryptographic protocols.Contents Introduction 1 Explicit Bounds for Primality Testing Ankeny s Theorem and its Algorithmic Consequences Background from Analytic Number Theory Roots Asymptotic Theorems Zeta function Estimates Numerical Theorems Computing Bounds for Specific Moduli Comparisons with Empirical Results 2 The Generation of Random Factorizations Introduction A Method That Almost Works Doctoring the Odds A Factor Generation Procedure The Complete Algorithm 2.5 Bounds for the Number of Prime Tests A Single precision Time Bound The Use of Probabilistic Primality Tests.Eric Bach received his doctorate from the University of California at Berkeley He is currently an Assistant Professor of Computer Science at the University of Wisconsin at Madison Analytic Methods in the Analysis and Design of Number Theoretic Algorithms is a 1984 ACM Distinguished Dissertation.
    Analytic Methods in the Analysis and Design of Number Theoretic Algorithms This book makes a substantial contribution to the understanding of a murky area of number theory that is important to computer science an area relevant to the design and analysis of number theoretic

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