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Your Millenium Problems

  1. Sep 13, 2006 #1
    Your "Millenium Problems"...:)

    If you could..what kind of "Millenium problems" (not only in abstract math but in any aspect of life, subject dealing with math...:rolleyes: :rolleyes: )..

    I would add...

    *The "Meassure" Problem:= give a mathematic consistent, and useful definition of "Infinite dimensional meassure" for a Function space, so integrals (of functionals) in the form:

    [tex] \int D[f]G[f] [/tex] can be evaluated, the problem is to find a justification for the "Functional meassure" D[f] :grumpy: :grumpy:

    The problem is very important to "Physics and Quantum Field Theory" since it could provide a way to define the propagator in Quantum Gravity.

    *The "Riemann Gas":= Euler product can be interpreted in the form of the "partition function" of a certain gas in the sense:

    [tex] \zeta(s)= \prod_{k}(1-e^{-slog(p_{k}) [/tex] which describes a "solid state gas" interacting under an Harmonic potential..the "problem2 is to define a way to obtain "theoretically" the dispersion relations [tex] \omega (k) [/tex] from the Partition function..what would allow us to know all the primes...(and hence the prime number counting function).
     
  2. jcsd
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