Multiplicative Number Theory

From the contents: Primes in Arithmetic Progression. - Gauss' Sum. - Cyclotomy. - Primes in Arithmetic Progression: The General Modulus. - Primitive Characters. - Dirichlet's Class Number Formula. - The Distribution of the Primes. - Riemann's Memoir. - The Functional Equation of the L Function. - Properties of the Gamma Function. - Integral Functions of Order 1. - The Infinite Products for xi(s) and xi(sZero-Free Region for zeta(s). - Zero-Free Regions for L(s chi). - The Number N(T). - The Number N(T chi). - The explicit Formula for psi(x). - The Prime Number Theorem. - The Explicit Formula for psi(xchi). - The Prime Number Theorem for Arithmetic Progressions (I). - Siegel's Theorem. - The Prime Number Theorem for Arithmetic Progressions (II). - The Pólya-Vinogradov Inequality. - Further Prime Number Sums. Language: English