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1: The Fundamental Theorem of Arithmetic. 2: Arithmetical Functions and Dirichlet Multiplication. 3: Averages of Arithmetical Function. 4: Some Elementary Theorems on the Distribution of Prime Numbers. 5: Congruences. 6: Finite Abelian Groups and Their Characters. 7: Cirichlet's Theorem on Primes in Arithmetic Progressions. 8: Periodic Arithmetical Functions and Gauss Sums. 9: Quadratic Residues and the Quadratic Reciprocity Law. 10: Primitive Roots. 11: Dirichlet Series and Euler Products. 12: The Functions. 13: Analytic Proof of the Prime Number Theorem. 14: Partitions.
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David Ayers
reviewed Introduction to Analytic Number Theory on June 17, 2020 Introduction to Analytic Number Theory
The Open University UK, which is truly excellent in writing their own study materials, used this book as a prime reading source for their analytic number theory courses M823 and M829 at the MSC. level. That should say enough about the quality of the text. - Everytime I pick up this book, it is with joy, and, there is always the likelyhood of learning the material at a deeper level.
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