Analytic Number Theory
Course, Master's level, 1MA038
Expand the information below to show details on how to apply and entry requirements.
Autumn 2025
Autumn 2025,
Uppsala, 33%, On-campus, English
Only available as part of a programme
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 1 September 2025–18 January 2026
- Language of instruction
- English
- Entry requirements
-
120 credits including 90 credits in mathematics. Real Analysis participation. Complex Analysis participation. Proficiency in English equivalent to the Swedish upper secondary course English 6.
- Application deadline
- 15 April 2025
- Application code
- UU-10072
Admitted or on the waiting list?
- Registration period
- 18 August 2025–14 September 2025
- Information on registration from the department
Autumn 2025
Autumn 2025,
Uppsala, 33%, On-campus, English
For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 1 September 2025–18 January 2026
- Language of instruction
- English
- Entry requirements
-
120 credits including 90 credits in mathematics. Real Analysis participation. Complex Analysis participation. Proficiency in English equivalent to the Swedish upper secondary course English 6.
Admitted or on the waiting list?
- Registration period
- 18 August 2025–14 September 2025
- Information on registration from the department
About the course
Results concerning the distribution of primes obtained by elementary methods. Dirichlet characters. The zeta function and Dirichlet's L-function. A proof of the prime number theorem and the prime number theorem for arithmetic sequences. Explicit formulas for Chebychev's psi-function. Dirichlet's class number formula. Siegel's theorem. Bounds on sums of characters. Briefly about sieve methods and Bombieri's theorem.
Reading list
- Reading list valid from Autumn 2022
- Reading list valid from Spring 2019
- Reading list valid from Spring 2014
- Reading list valid from Autumn 2013, version 2
- Reading list valid from Autumn 2013, version 1
- Reading list valid from Autumn 2010, version 2
- Reading list valid from Autumn 2010, version 1
- Reading list valid from Autumn 2008
Contact
- Study counselling
- studievagledare@math.uu.se
- +46 18 471 32 03, +46 18 471 32 00