solve the following 3 questions
Posted: Mon Jul 11, 2022 12:01 pm
solve the following 3 questions
Lemma 6.4. Put Je = Σ σ(α)σ(b). a+b=c Then Je-o(-1) if c #0, and Jo = o(-1) (q-1). =
Proposition 6.5. The equation aX² + 6Y² = 1 has q − o(-ab) = q ±1 solutions. In particular, the equation X² + Y² = c has q - σ(−1) solutions, for every c E F*.
Exercise 6.6. Find the number of solutions to the equation X² + ... + X² = + X²/2 = c, where CEF*.
- Solve The Following 3 Questions 1 (14.38 KiB) Viewed 36 times
Proposition 6.5. The equation aX² + 6Y² = 1 has q − o(-ab) = q ±1 solutions. In particular, the equation X² + Y² = c has q - σ(−1) solutions, for every c E F*.
Exercise 6.6. Find the number of solutions to the equation X² + ... + X² = + X²/2 = c, where CEF*.