preface to the second edition
   acknowledgments for the second edition
   preface to the first edition
   acknowledgments for the first edition
   problems
   arithmetic functions
   1.1  the m6bius inversion formula and applications.
   1.2  formal dirichlet series
   1.3  orders of some arithmetical functions
   1.4  average orders of arithmetical functions
   1.5  supplementary problems
2  primes in arithmetic progressions
   2.1  summation techniques
   2.2  characters mod q
   2.3  dirichlet's theorem
    2.4  dirichlet's hyperbola method
    2.5  supplementary problems
    the prime number theorem
    3.1  chebyshev's theorem
    3.2  nonvanishing of dirichlet series on re(s) = 1  
    3.3  the ikehara - wiener theorem
    3.4  supplementary problems
    the method of contour integration
    4.1  some basic integrals
    4.2  the prime number theorem
    4.3  further examples
    4.4  supplementary problems
5  functional equations
    5.1  poisson's summation formula
    5.2  the riemann zeta function
    5.3  gauss sums
    5.4  dirichletl-functions
    5.5  supplementary problems
6  hadamard products
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