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The study of properties of the integer numbers, in particular of prime numbers, is one of the most ancient topics in mathematics. The study of the prime numbers and their distribution is also considered to be one of the most beautiful topics in mathematics. Analytic number theory is the area of mathematics that uses methods from mathematical analysis to solve problems about the integers. After reviewing some basic concepts in elementary number theory, the main aim of this lecture course is to show how powerful mathematical analysis is, in particular, complex analysis, in the study of the distribution of prime numbers.

Pre-requisite Module: MTH2001 or MTH2009 or equivalent. 

_{Please note that all modules are subject to change, please get in touch if you have any questions about this module.}