M3PM16 / M4PM16 Analytic Number Theory 2014-2015

Lectures

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Lecture 12
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Lecture 32
Lecture 33

Problems

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Solutions

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Coursework

Assessed Coursework
Assessed Coursework Solutions

Handouts

Dramatis Personae: Who Did What When
Multiplication of Series
Constants Lemma
e and pi
Abel and Dirichlet convergence tests
Euler summation and integral test
Further Complex Analysis
Tauberian theorems
Prime divisor functions; Landau's Poisson extension to PNT; Probabilistic Number Theory

Exams

Exam 2014
Exam Solutions 2014
Mastery Question 2014
Mastery Question Solution 2014
Exam 2013
Exam Solutions 2013
Mastery Question 2013
Mastery Question Solution 2013
Exam 2012
Exam Solutions 2012
Mock Exam 2012
Mock Exam Solutions 2012

Last Year's Course

Here are the 2012, 2013 and 2014 materials.