Complex Analysis 2018

Instructor: Amritanshu Prasad

Course Timings:

13:30am-1:00pm, Mondays and Wednesdays (until 22nd November 2018), Room 217.

Office Hours:

Mondays and Wednesdays, 2:00pm to 3:00pm

Teaching Assistant

Digjoy Paul, room 121 (office hours: Wednesdays and Fridays, 4:00pm-5:00pm)


  1. Complex Analysis, by Elias M. Stein and Rami Shakarchi.
  2. Complex Analysis, by Theodore W. Gamelin.
  3. Theory of Complex Functions, by Reinhold Remmert.

Evaluation Scheme:

Weekly assignment - 30%, Midsem - 30%, Final Exam - 40%
No marks will be awarded for late assignments
Midsem exam: September 25th, 9:30am-11:30am
Final exam: November 27th, 9:30am-11:30am

Suggested Reading:

  1. Prime Numbers and the Riemamm Hypothesis, by Barry Mazur and William Stein.
  2. Analytic Combinatorics, Philippe Flajolet and Robert Sedgewick.
  3. A Course in Arithmetic, Jean-Pierre Serre.
  4. Topics in Analytic Number Theory, Hans Rademacher.
  5. Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol.

Suggested Watching:

  1. The Hardy - Ramanujan Formula for the Partition Function by D. Surya Ramana.

Homework and Notes

  1. Discussion on 9th Aug, due on 13th Aug.
  2. Discussion on 17th Aug, due on 20th Aug.
  3. Due on 27th Aug.
  4. Discussion on 29th Aug, due on 3rd Sept.
  5. Discussion on 5th Sept, due on 10th Sept.
  6. Discussion on 17th Sept, due on 19th Sept.
  7. Due on 25th Sept.
  8. Due on 10th Oct.
  9. Due on 17th Oct; Class notes for 10th October.
  10. Class notes for 15th October.
  11. Due on 24th Oct; Class notes for 17th October.
  12. notes for 22nd October.
  13. Due on 5th November; notes for 29th October.
  14. notes for 31st October.
  15. Due on 19th Oct; Notes for 12 Nov
  16. notes for 14th November.
  17. notes for 19th November.