Section25.9Exercises

  1. Read one of the several excellent introductions to the Riemann Hypothesis intended for the “general reader”.
  2. What is the Birch-Swinnerton-Dyer Conjecture? Find out as much about it as you can.
  3. Answer one of these questions, or all of them.
    • What are partitions of a number?
    • What are continued fractions?
    • What is an elliptic curve, and how is it used in cryptography?
    • What is a number field?
  4. What else do you want to know about numbers? What are you inspired to discover?