The focus of the course will be on prime number theory. We give a relatively simple proof of the Prime Number Theorem, based on complex analysis and, if time permits, a proof of the Prime Number Theorem for arithmetic progressions. We discuss the Riemann zeta function, Dirichlet characters and L-functions and maybe some other topics if time permits. More details are given on the homepage of the course, see the link below.
Prerequisite
Algebra 1,2 (groups, rings), Analysis 1,2,3,4 (convergence of series, uniform convergence, complex analysis)
Literature
Handouts
Examination
Homework exercises
Remarks
Remark 1 :This course is recommended for a master\‘s thesis project in number theory.Remark 2 :Ths course will not be given in 2009/10Remark 3 :Information of the cousre is maintained on the Homepage Analytic Number Theory. We do not use the Blackboard-system.### Links