CS 746: Riemann Hypothesis and Its Applications


Announcements:

  • Course Timings: 5-6 PM on Tue/Wed/Fri, in Media Technology Center
  • Endsem is online!

    Lecture Notes:

    End of Complex Analysis
    Prime Counting and Zeta Function
    Extending Zeta Function to Complex Plane
    Groundwork for Estimating Zeta'/Zeta
    Entire Functions of Order 1
    Estimating Zeta'/Zeta
    Riemann Hypothesis
    Prime Number Theorem
    Generalized Riemann Hypothesis
    Elliptic Curves, Modular Functions, and Zeta Functions


    Reading material:
    • M. Ram Murty. Problems in Analytical Number Theory. Graduate Text in Mathematics 206, Springer 2001.
    • Peter Borwein, Stephen Choi, Brendan Rooney, Andera Wierathmueller. The Riemann Hypothesis. Springer 2006. Online version here.