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Random Number Generators on Computers book cover

1st Edition

Random Number Generators on Computers

By Naoya Nakazawa, Hiroshi Nakazawa Copyright 2025
120 Pages
by Jenny Stanford Publishing

120 Pages
by Jenny Stanford Publishing
Also available as eBook on:
This monograph proves that any finite random number sequence is represented by the multiplicative congruential (MC) way. It also shows that an MC random number generator (d, z) formed by the modulus d and the multiplier z should be selected by new regular simplex criteria to give random numbers an excellent disguise of independence. The new criteria prove further that excellent subgenerators... Read more

1. Basic Concepts and Tools

2. Group Structures

3. Designs of MC Generators

4. Lattice Structures

5. Regular Simplexes and Regular Lattices

6. Extended Second-Degree Tests

7. MC Generators with Excellent Statistics

8. MC Random Numbers on Spatial Lattices

9. Random Vector Fields and Random Walks

10. Two Addenda and Closing Comments

Biography

Naoya Nakazawa obtained his DSci (applied number theory) at Osaka Prefectural University, Japan. He is now the representative (theory and computing) of Hirakata Ransu Factory (HRF).

Hiroshi Nakazawa obtained his DSci (statistical physics) at Kyoto University, Japan. As a professor at Takuma National College of Technology, Japan, he enjoyed teaching students applied mathematics. He is now the representative (theory and general affairs) of HRF.

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