An asymptotic formula for the moments of the Minkowski question mark function in the interval [0, 1]

@article{Alkauskas2008AnAF,
  title={An asymptotic formula for the moments of the Minkowski question mark function in the interval [0, 1]},
  author={Giedrius Alkauskas},
  journal={Lithuanian Mathematical Journal},
  year={2008},
  volume={48},
  pages={357-367}
}
  • Giedrius Alkauskas
  • Published 2008
  • Mathematics
  • Lithuanian Mathematical Journal
  • In this paper, we prove an asymptotic formula for the moments of the Minkowski question mark function, which describes the distribution of rationals in the Farey tree. The main idea is to demonstrate that a certain variation of a Laplace method is applicable in this problem, and hence the task reduces to a number of technical calculations. 

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