### MA 352: Introduction to Analytic Number Theory

#### Pre-requisites :

1. Introductory courses in basic number theory
2. Complex analysis

Review of arithmetical functions, Averages of arithmetical functions, Elementary results on the distribution of prime numbers, Dirichlet characters, Dirichlet’s theorem on primes in arithmetic functions, Dirichlet series and Euler products, Riemann zeta function and related objects, The prime number theorem.

(Time permitting: More advanced topics like Sieves, bounds on exponential sums, zeros of zeta functions, circle method etc.)

#### Suggested books :

1. H. Davenport., Multiplicative Number Theory ,Springer GTM 74 (third ed.) 2000.
2. Tom. M. Apostol., Introduction to Analytic Number Theory ,Springer-Verlag, 1976.

#### All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in