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Character Sums With Exponential Functions and Their Applications

by Igor Shparlinski

  • ISBN: 9780521642637
  • ISBN10: 0521642639

Character Sums With Exponential Functions and Their Applications

by Igor Shparlinski

  • List Price: $93.00
  • Binding: Hardcover
  • Publisher: Cambridge Univ Pr
  • Publish date: 09/01/1999
  • ISBN: 9780521642637
  • ISBN10: 0521642639
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Description: The theme of this book is the study of the distribution of integer powers modulo a prime number. It provides numerous new, sometimes quite unexpected, links between number theory and computer science as well as to other areas of mathematics. Possible applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory. The main method discussed is based on bounds of exponential sums. Accordingly, the book contains many estimates of such sums, including new estimates of classical Guassian sums. It also contains many open questions and proposals for further research.
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