# Introduction

# Introduction

This introductory chapter sets out the book's focus, namely equidistribution results over larger and larger finite extensions of a given finite field. Emanuel Kowalski drew attention to the interest of having equidistribution results over, for example, prime fields đť”˝*p*, that become better and better as *p* grows. This question is addressed in Chapter 28, where the problem is to make effective the estimates, already given in the equicharacteristic setting of larger and larger extensions of a given finite field. Chapter 29 points out some open questions about â€śthe situation over â„¤â€ť and gives some illustrative examples. The chapter concludes by pointing out two potential ambiguities of notation.

*Keywords:*
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equidistribution, finite fields, number theory, Emanuel Kowalski

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