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Introduction to Analytic Number Theory by Tamás Tornyi is a document available to read on EtoBox.

This document provides an introduction to analytic number theory. It discusses counting arithmetic objects like primes up to a given value x. It presents three examples of how analytic techniques can be used to solve counting problems by relating them to evaluating integrals involving Dirichlet series and exponential sums. These techniques include using Poisson summation, inclusion-exclusion principles from sieve theory, and shifting contours in complex analysis. The goal is to introduce readers to analytic

Author
Tamás Tornyi
Language
EN