Problems in Analytic Number Theory

Authors:

ISBN: 978-0-387-72349-5 (Print) 978-0-387-72350-1 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xxi

  2. Problems

    1. No Access

      Book Chapter

      Pages 3-15

      Arithmetic Functions

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      Book Chapter

      Pages 17-33

      Primes in Arithmetic Progressions

    3. No Access

      Book Chapter

      Pages 35-51

      The Prime Number Theorem

    4. No Access

      Book Chapter

      Pages 53-68

      The Method of Contour Integration

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      Book Chapter

      Pages 69-83

      Functional Equations

    6. No Access

      Book Chapter

      Pages 85-99

      Hadamard Products

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      Book Chapter

      Pages 101-113

      Explicit Formulas

    8. No Access

      Book Chapter

      Pages 115-126

      The Selberg Class

    9. No Access

      Book Chapter

      Pages 127-146

      Sieve Methods

    10. No Access

      Book Chapter

      Pages 147-170

      p-adic Methods

    11. No Access

      Book Chapter

      Pages 171-195

      Equidistribution

  3. Solutions

    1. No Access

      Book Chapter

      Pages 199-236

      Arithmetic Functions

    2. No Access

      Book Chapter

      Pages 237-271

      Primes in Arithmetic Progressions

    3. No Access

      Book Chapter

      Pages 273-304

      The Prime Number Theorem

    4. No Access

      Book Chapter

      Pages 305-328

      The Method of Contour Integration

    5. No Access

      Book Chapter

      Pages 329-356

      Functional Equations

    6. No Access

      Book Chapter

      Pages 357-383

      Hadamard Products

    7. No Access

      Book Chapter

      Pages 385-402

      Explicit Formulas

    8. No Access

      Book Chapter

      Pages 403-421

      The Selberg Class

    9. No Access

      Book Chapter

      Pages 423-447

      Sieve Methods

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