Author | Apostol, Tom M. author |
---|---|
Title | Introduction to Analytic Number Theory [electronic resource] / by Tom M. Apostol |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1976 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-5579-4 |
Descript | XII, 340 p. online resource |
Historical Introduction -- 1 The Fundamental Theorem of Arithmetic -- 2 Arithmetical Functions and Dirichlet Multiplication -- 3 Averages of Arithmetical Functions -- 4 Some Elementary Theorems on the Distribution of Prime Numbers -- 5 Congruences -- 6 Finite Abelian Groups and Their Characters -- 7 Dirichletโs 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 ?(s) and L(s, ?) -- 13 Analytic Proof of the Prime Number Theorem -- 14 Partitions -- Index of Special Symbols