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 vii
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