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What is exactly a Trace ?

  1. Jun 20, 2009 #1
    the idea is this, for the mathematician what is exactly the definition of a Trace ??

    for example let us suppose that i find a trace operator for Riemann Zeros, then would it mean that i have solved Riemann Hypothesis ??

    In the paper: http://www.math.ohio-state.edu/lectures/connes/zeta2.pdf

    they say 'if the Trace xxx is correct then RH is proved'

    but in order to prove a Trace is correct you only would need to test it with several functions, wouldn't you
     
  2. jcsd
  3. Jun 28, 2009 #2
    Why do you say that? This is like saying all odd numbers except 1 are prime:
    3 is prime ,5 is prime, 7 is prime -- it's proven!
     
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