A User's Guide to Serre's Arithmetic/The Theorem on Arithmetic Progressions

Characters of Finite Abelian Groups Duality Orthogonality Relations Modular Characters Proposition 5 uses a couple clever tricks: is a monoid morphism implies and Dirichlet Series Lemmas Dirichlet Series Dirichlet Series with Positive Coefficients Ordinary Dirichlet Series Zeta Functions and L-Functions Eulerian Products The Zeta Function The L-Functions Product of the L-Functions Related to the Same Density and the Dirichlet Theorem Density Lemmas Proof of Theorem 2 An Applications Natural Density