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Course Info

  • Course Number / Code:
  • 18.785 (Spring 2007) 
  • Course Title:
  • Analytic Number Theory 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mathematics 
  • Course Instructor(s):
  • Prof. Kiran Kedlaya 
  • Course Introduction:
  •  


  • 18.785 Analytic Number Theory



    Spring 2007




    Course Highlights




    18.785 Analytic Number Theory



    Spring 2007


    Image of prime numbers up to 100 generated by the Sieve of Eratosthenes.
    The prime numbers (highlighted above) were identified using the Sieve of Eratosthenes. Named after the ancient Greek mathematician and scientist, Eratosthenes, it is an algorithm for identifying all prime numbers up to a given number n (in this case, up to 100). (Image by MIT OCW.)


    Course Description


    This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions).
     

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