Kobin A. Analytic Number Theory

No publisher info, 2013. — 75 p.These notes were compiled from a semester of lectures at Wake Forest University by Dr. John Webb. The primary focus is the Riemann Zeta Function ζ(s).Introduction
Preliminaries
Basic Number Theory
Basic Analysis
Euler-Maclaurin Summation
The Bernoulli Numbers
Euler’s Work
On the Sums of Series of Reciprocals
Newton’s Identities
Euler’s Product Form
The Prime Number Theorem
Complex Analysis
Arithmetic
Functions and Limits
Line Integrals
Differentiability
Integration in the Complex Plane
Singularities and the Residue Theorem
The Zeta Function
The Functional Equation
Finding the Zeros
Sketch of the Prime Number Theorem
Generalized Riemann Hypothesisтекстовый PDF