New Results on Kloosterman Sums Modulo p^e
Speaker: Faruk Gologlu (UCD)
Date: Mon 27th September 2010
Location: Mathematical Sciences Seminar Room
We give results on p-ary Kloosterman sums modulo powers of
the characteristic where p is any prime. Given the difficulty of finding zeroes (or specific values) of Kloosterman sums using current techniques, giving divisibility results is the standard way of providing necessary conditions. When p = 2,3 the results are on the usual Kloosterman sums and when p>3 we give a result on the minimal polynomial of the Kloosterman sum. These results are a combination of a number of co-works (all) with Gary McGuire and Richard Moloney and (some with) Petr Lisonek.
(This talk is part of the Algebra/Claude Shannon Institute series.)