HW 7 due Nov 2 2016

  • Count the number of solutions to the equation x^2 + 3 y^2 \equiv 1 \mod p in two-dimensional projective space working in the field with p elements, assuming p>3.  Use the procedure described in class to convert to a homogeneous polynomial to find the solutions at infinity.
  • problem 10.2 of MNT
  • problem 10.3 of MNT
  • problem 10.7 of MNT
  • compute the trace of every element of the field F_2(t), where t^2 + t + 1=0.
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