Analytic Number Theory
Course, Master's level, 1MA038
Autumn 2023 Autumn 2023, 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
- 28 August 2023–14 January 2024
- 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.
- Fees
-
If you are not a citizen of a European Union (EU) or European Economic Area (EEA) country, or Switzerland, you are required to pay application and tuition fees.
- Application fee: SEK 900
- First tuition fee instalment: SEK 24,167
- Total tuition fee: SEK 24,167
- Application deadline
- 17 April 2023
- Application code
- UU-10072
Admitted or on the waiting list?
- Registration period
- 14 August 2023–10 September 2023
- Information on registration
Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 28 August 2023–14 January 2024
- 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
- 14 August 2023–10 September 2023
- Information on registration
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