Applied Algebra and Number Theory
eBook - PDF

Applied Algebra and Number Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Applied Algebra and Number Theory

About this book

Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas. This collection of survey articles has been authored by close colleagues and leading experts to mark the occasion of his 70th birthday. The book provides a modern overview of different research areas, covering uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation. Many results are published here for the first time. The book serves as a useful starting point for graduate students new to these areas or as a refresher for researchers wanting to follow recent trends.

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Yes, you can access Applied Algebra and Number Theory by Gerhard Larcher,Friedrich Pillichshammer,Arne Winterhof,Chaoping Xing in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title page
  3. Frontispiece
  4. Title page
  5. Copyright page
  6. Contents
  7. Preface
  8. 1 Some highlights of Harald Niederreiter's work
  9. 2 Partially bent functions and their properties
  10. 3 Applications of geometric discrepancy in numerical analysis and statistics
  11. 4 Discrepancy bounds for low-dimensional point sets
  12. 5 On the linear complexity and lattice test of nonlinear pseudorandom number generators
  13. 6 A heuristic formula estimating the keystream length for the general combination generator with respect to a correlation attack
  14. 7 Point sets of minimal energy
  15. 8 The cross-correlation measure for families of binary sequences
  16. 9 On an important family of inequalities of Niederreiter involving exponential sums
  17. 10 Controlling the shape of generating matrices in global function field constructions of digital sequences
  18. 11 Periodic structure of the exponential pseudorandom number generator
  19. 12 Construction of a rank-1 lattice sequence based on primitive polynomials
  20. 13 A quasi-Monte Carlo method for the coagulation equation
  21. 14 Asymptotic formulas for partitions with bounded multiplicity
  22. 15 A trigonometric approach for Chebyshev polynomials over finite fields
  23. 16 Index bounds for value sets of polynomials over finite fields
  24. 17 Rational points of the curve y[sup(q)[sup(n)]]-y=x[sup(q)[sup(h)]][sup(+1)] -α over F[sub(q)sup(m)]
  25. 18 On the linear complexity of multisequences, bijections between Zahlen and Number tuples, and partitions