Asymptotic formula for the moments of Minkowski question mark function in the interval [0,1]
Number Theory
2009-09-23 v3 Classical Analysis and ODEs
Abstract
In this paper we prove the asymptotic formula for the moments of Minkowski question mark function, which describes the distribution of rationals in the Farey tree. The main idea is to demonstrate that certain a variation of a Laplace method is applicable in this problem, hence the task reduces to a number of technical calculations.
Keywords
Cite
@article{arxiv.0802.2721,
title = {Asymptotic formula for the moments of Minkowski question mark function in the interval [0,1]},
author = {Giedrius Alkauskas},
journal= {arXiv preprint arXiv:0802.2721},
year = {2009}
}
Comments
11 pages, 1 figure (final version). Lithuanian Math. J. (to appear)