- Let be a field with four elements, where . Compute the norm of every element of F.
- Find the values of the parameter such that has a singular point in the projective plane.
- Suppose that the zeta function has the form . (a) What is , the cardinality of the finite field? (b) Find how many points there are in .
- A zeta function has the form , for some integer a. (a) What is , the cardinality of the finite field? (b) If , then what is the integer a?

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