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Zero-th Gaussian periods

  1. Apr 17, 2014 #1
    Hi,

    I'm new to this subject and wondering if anything is known specifically on the zero-th Gaussian periods of type (N,r), where N is a product of distinct primes and r = p^s is a power of a prime. I know there are some very general results out there, but I haven't seen this so far. Thanks!

    In case you don't know what I mean: Let X be the canonical additive character on GF(r) and let N be a divisor of r-1. Then the zero-th Gaussian period of type (N,r) is the sum of the values X(z) where z runs over all the elements of the (unique) multiplicative subgroup of GF(r) with order (r-1)/N.

    Cheers
     
  2. jcsd
  3. May 4, 2014 #2
    I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
     
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