| 
 
          
             | 
  
     | MATH 654 Analytic Number Theory |  
     | Integer points, trigonometric sums, infinite products, entire functions, the gamma function, the Riemann zeta-function, zeros of the zeta-function, the prime number theorem, Drichlet $L$-functions, primes in arithmetic progressions, the circle method, the Goldbach conjecture, Waring's problem.
          Credit units: 3 ECTS Credit units: 5. |  |  |