Course

M552 - Analytic Number Theory

Course No: 
M552
Credit: 
4
Prerequisites: 
M201
Approval: 
2014
UG-Elective
Syllabus: 
Arithmetic functions, Averages of arithmetical functions, Distribution of primes, finite abelian groups and characters, Gauss sums, Dirichlet series and Euler products, Reimann Zeta function, Dirichlet L-functions, Analytic proof of the prime number theorem, Dirichlet Theorem on primes in arithmetic progression.
Reference Books: 
  1. T. M. Apostol, “Introduction to Analytic Number Theory”, Springer International Student Edition, 2000.
  2. K. Chandrasekharan, “Introduction to Analytic Number Theory”, Springer-Verlag, 1968. 
  3. H. Iwaniec, E. Kowalski, “Analytic Number Theory”, American Mathematical Society Colloquium Publications 53, American Mathematical Society, 2004.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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