ABSTRACT

"Number Theory Arising from Finite Fields: Analytic and Probabilistic Theory" offers a discussion of the advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions

chapter |4 pages

INTRODUCTION

chapter |92 pages

ABSTRACT PRIME NUMBER THEOREMS (I)

chapter |26 pages

MORE APPLICATIONS OF PRIME COUNTING

chapter |38 pages

ABSTRACT PRIME NUMBER THEOREMS (II)

chapter |55 pages

GENERAL MEAN-VALUE THEOREMS

chapter |32 pages

SURVEY OF SOME FURTHER TOPICS

chapter |12 pages

BIBLIOGRAPHY

chapter |4 pages

NOTATIONS