Character sums with exponential functions and their applications [E-Book] / Sergei V. Konyagin, Igor E. Shparlinski.
Koni͡agin, S. V., (author)
Shparlinski, Igor E., (author)
Cambridge : Cambridge University Press, 1999
1 online resource (viii, 163 pages)
englisch
9780521642637
9780511542930
Cambridge tracts in mathematics ; 136
Full Text
Table of Contents:
  • pt. 1. Preliminaries
  • 1. Introduction
  • 2. Notation and Auxiliary Results
  • pt. 2. Bounds of Character Sums
  • 3. Bounds of Long Character Sums
  • 4. Bounds of Short Character Sums
  • 5. Bounds of Character Sums for Almost All Moduli
  • 6. Bounds of Gaussian Sums
  • pt. 3. Multiplicative Translations of Sets
  • 7. Multiplicative Translations of Subgroups of F*[subscript p]
  • 8. Multiplicative Translations of Arbitrary Sets Modulo p
  • pt. 4. Applications to Algebraic Number Fields
  • 9. Representatives of Residue Classes
  • 10. Cyclotomic Fields and Gaussian Periods
  • pt. 5. Applications to Pseudo-Random Number Generators
  • 11. Prediction of Pseudo-Random Number Generators
  • 12. Congruential Pseudo-Random Number Generators
  • pt. 6. Applications to Finite Fields
  • 13. Small mth Roots Modulo p
  • 14. Supersingular Hyperelliptic Curves
  • 15. Distribution of Powers of Primitive Roots
  • pt. 7. Applications to Coding Theory and Combinatorics
  • 16. Difference Sets in V[subscript p]
  • 17. Dimension of BCH Codes
  • 18. An Enumeration Problem in Finite Fields.