Analytic Methods in the Analysis and Design of Number Theoretic Algorithms (Acm Distinguished Dissertations)

Analytic Methods in the Analysis and Design of Number Theoretic Algorithms

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Analytic Methods in the Analysis and Design of Number Theoretic Algorithms (Acm Distinguished Dissertations)

Analytic Methods in the Analysis and Design of Number Theoretic Algorithms

Written by Eric Bach
4.85 92,795 ratings
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About this ebook:
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 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.

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Published August 14, 1985
ISBN 1369865
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Eric Bach

Eric Bach writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Eric Bach lives with their spouse and a very vocal rescue cat.

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Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
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Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
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A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
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A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel.
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Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading.
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Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
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Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
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Charles Jackson May 31, 2025
A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
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Michael Turner April 05, 2024
Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel.
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Matthew Scott November 24, 2025
Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend.
Nicholas Miller
Nicholas Miller December 04, 2024
Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers.
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Sarah Williams March 03, 2024
Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
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Stephanie Baker April 06, 2024
A highly sophisticated read. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
Emily Gonzalez
Emily Gonzalez March 05, 2025
Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
Michael Thomas
Michael Thomas September 27, 2024
Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
Kimberly Wright
Kimberly Wright August 24, 2025
Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre.
Ryan Reyes
Ryan Reyes June 03, 2025
Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading.
Kevin Roberts
Kevin Roberts June 18, 2024
I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A solid 4 stars from me.
Elizabeth Lewis
Elizabeth Lewis November 12, 2025
I find myself somewhat conflicted. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Suitable if your reading queue is empty.
Susan Baker
Susan Baker July 20, 2025
An acceptable diversion. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars.
Jacob Gonzalez
Jacob Gonzalez October 28, 2024
Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
Susan King
Susan King February 24, 2024
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall.
Kenneth Miller
Kenneth Miller June 30, 2025
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend.
Andrew Hernandez
Andrew Hernandez February 01, 2024
Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
Thomas Young
Thomas Young January 12, 2024
Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
Robert Ramirez
Robert Ramirez April 06, 2024
Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading.
Edward Harris
Edward Harris March 03, 2024
Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers.
Sarah Gomez
Sarah Gomez July 27, 2024
It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Perfectly average.
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Laura Thomas October 15, 2024
I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
Michael Reyes
Michael Reyes June 10, 2024
Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
Eric Green
Eric Green April 27, 2025
Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars.
Gary Torres
Gary Torres December 29, 2025
A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem.
Dorothy Martinez
Dorothy Martinez November 04, 2024
Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars.
Joshua Mitchell
Joshua Mitchell April 19, 2024
Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading.
William Lewis
William Lewis August 25, 2024
Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
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