Solving conics over function fields
Solving conics over function fields
Let F be a field whose characteristic is not 2 and K=F(t). We give a simple algorithm to find, given a,b,c∈K * , a nontrivial solution in K (if it exists) to the equation aX 2 +bY 2 +cZ 2 =0. The algorithm requires, in certain cases, the solution of …