Number Theory Arising From Finite Fields

This book provides the context of polynomial rings and algebraic function fields over finite fields, as well ascertain related systems, to the kind of analytic number theory appropriate to ordinary integers, algebraic number fields, and corresponding further mathematical systems.

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"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. The work explores calculations from classical stages to emerging discoveries in alternative abstract prime number theorems.