On Kloosterman sums over finite fields of characteristic 3
  We study the divisibility by 3^k of Kloosterman sums K(a) over finite fields of characteristic 3. We give a new recurrent algorithm for finding the largest k, such that 3^k divides the Kloosterman sum K(a). This gives a new simple test for zeros of such Kloosterman sums. 
Leonid Bassalygo, Victor Zinoviev
math.NT math.CO