Comportement local moyen de la fonction de Brjuno
Tom 218 / 2012
Fundamenta Mathematicae 218 (2012), 193-224
MSC: Primary 26A27; Secondary 11A55.
DOI: 10.4064/fm218-3-1
Streszczenie
We describe the average behaviour of the Brjuno function in the neighbourhood of any given point of the unit interval. In particular, we show that the Lebesgue set of \varPhi is the set of Brjuno numbers and we find the asymptotic behaviour of the modulus of continuity of the integral of \varPhi .
