Analytic Number Theory - University of Gothenburg Till startsida
To content Read more about how we use cookies on

Analytic Number Theory

Master's level | 7.5 credits | Course code: MMA340
Spring 2021
50% Day
Period: 18 January 2021 - 24 March 2021
2 Opens 15 September GU-21752
2) Only EU/EEA citizens and students with approved residence permit in Sweden can apply

About the Course

Analytic number theory is the part of number theory that uses methods from analysis to answer questions about integers in general and prime numbers in particular. The subject became an independent part of number theory during the 19th century, when works by Dirichlet and Riemann, among others, showed that methods from complex analysis could be used to study the distribution of primes among the natural numbers. Riemann only wrote one ten-page paper in analytic number theory, but his ideas have permeated much of the research in the field during the last 150 years. Riemann's fundamental insight was that the distribution of primes is intimately connected to a complex function called the Riemann zeta function. This function has since been thoroughly studied, not least in connection with the so-called Riemann hypothesis which describes the location of the zeroes of the zeta function.

In this course you will study arithmetic functions, Dirichlet series, the Riemann zeta function, and Dirichlet L functions. We will use this to prove the prime number theorem and the prime number theorem for arithmetic progressions, which in various ways describe the distribution of primes among the natural numbers.

More Information

Show more

Course Syllabus


Requirements and Selection

Requirements: General entry requirements and the equivalent of MMG700 Analytic Functions. The course MMG100 Elementary Number Theory is recommended but not required.

Selection: All eligible applicants who have applied before the deadline will be granted a place.

Tuition Fee

Application fee: 900 SEK
Full course cost: 14 875 SEK
First payment: 14 875 SEK

EU/EEA citizens, Swedish residence permit holders and exchange students do not pay fees. More information on:

Study Guidance, tel: 031-772 3505


Department of Mathematical Sciences
41296 Göteborg

Visiting address: Chalmers Tvärgata 3

Phone: 0317721000

Page Manager: Jörgen Ölund
Last update: 2/18/2020 2:41 PM

Tell a friend about this page
Print version

Page Manager: Jörgen Ölund|Last update: 10/16/2018

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?