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醉染图书解析数论问题集9787560346885
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Preface to the Second Edition
Acknowledgments for the Second Edition
Preface to the First Edition
Acknowledgments for the First Edition
ⅠProblems
1 Arithmetic Functions
1.1 The Mobius 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
. Dirichlets Theorem
2.4 Dirichlets Hyperbola Method
2.5 Supplementary Problems
3 The Prime Number Theorem
3.1 Chebyshevs Theorem
3.2 Nonvanishing of Dirichlet Series on Re(s) = 1
3.3 The Ikehara - Wiener Theorem
3.4 Supplementary Problems
4 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 Poissons Summation Formula
5.2 The Riemann Zeta Function
5.3 Gauss Sums
5.4 Dirichlet L-functions
5.5 Supplementary Problems
……
Ⅱ Solutions
Reterences
Index
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