Contents
Preface xi
Acknowledgments xiii
How to use this text xv
Introduction xvii
Chapter 1. Arithmetic Functions 1
§1.1. The method of Chebyshev 1
§1.2. Bertrand’s Postulate 6
§1.3. Simple estimation techniques 7
§1.4. The Mertens estimates 10
§1.5. Sums over divisors 16
§1.6. The hyperbola method 21
§1.7. Notes 27
Exercises 33
Chapter 2. Topics on Arithmetic Functions 41
§2.1. The neighborhood method 41
§2.2. The normal order method 46
§2.3. The Mertens function 49
§2.4. Notes 55
Exercises 56
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