The University of Sheffield
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MAS430   Analytic Number Theory   (10 credits)

 
Year Running: 2020/2021
Credit level: F7
Pre-requisites   MAS114   MAS332  

Description

The module will discuss the distribution of prime numbers (Bertrand's Postulate, prime counting function, the statement of the Prime Number Theorem and some of its consequences), basic properties of the Riemann zeta function, and Euler products of L-series. A big chunk of the module will be dedicated to Dirichlet's Theorem on primes in arithmetic progressions and it's proof.

 

Reading List


Please click here for reading list.
 

Teaching Methods

Delivery Type Hours
Independent 80.0
Lecture 20.0
 

Methods of assessment

Assessment Type Duration % of formal assessment Semester
Exam 2.5 100 % S1
 

Teaching methods and assessment displayed on this page are indicative for 2023-24.