Random matrix theory predicts that at a height , the closest that two zeros of could be is about . (Unlike the situation of large gaps, where the primes enter into the picture in a critical way, the random matirx prediction is expected to give the right answer here.) Now the question is, how many zeros could be clustered together in a small region? Clearly, this question is related to large values of . Let . Is it reasobale to believe that for certain there will be zeros clustered together in an interval ?

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