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.
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.
