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Part I. Preliminaries:
1. Introduction;
2. Notation and auxiliary results;
Part II. 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;
Part III. Multiplicative Translations of Sets:
7. Multiplicative translations of subgroups of F*p;
8. Multiplicative translations of arbitrary sets modulo p;
Part IV. Applications to Algebraic Number Fields: 9 Representatives of residue classes;
10. Cyclotomic fields and Gaussian periods;
Part V. Applications to Pseudo-random Number Generators:
11. Prediction of pseudo-random number generators;
12. Congruential pseudo-random number generators;
Part VI. Applications to Finite Fields:
13. Small mth roots modulo p;
14. Supersingular hyperelliptic curves;
15. Distribution of powers of primitive roots;
16. Difference sets in Vp;
17. Dimension of BCH codes;
18. An enumeration problem in finite fields.
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Add Character Sums with Exponential Functions and Their Applications, 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 appl, Character Sums with Exponential Functions and Their Applications to the inventory that you are selling on WonderClubX
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Add Character Sums with Exponential Functions and Their Applications, 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 appl, Character Sums with Exponential Functions and Their Applications to your collection on WonderClub |