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解析数论问题集-(第二版) 目录
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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