# 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.