Squarefrees are gaussian in short intervals

HIGHLIGHTS

  • who: J. reine angew. Math. from the (UNIVERSITY) have published the Article: Squarefrees are Gaussian in short intervals, in the Journal: (JOURNAL)
  • what: The authors show that counts of squarefree integers up to X in short intervals of size H tend to a Gaussian distribution as long as H ! 1 and H D X o.1/. The authors examine the inner sum defining Mk.X; H I `/. The authors show how the approximation of Ck.H I `/ by Gaussian moments arises from terms in which r1;:::; rk are paired and non-repeated in the sum . . .

     

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