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2017

2017

1 : We use properties of the Stern Sequence for numerical computations of moments 1 0 t n d?(t) associated to Minkowski's… Expand

2017

2017

Minkowski's question mark function is the distribution function of a singular continuous measure: we study this measure from the… Expand

2015

2015

Hermann Minkowski introduced a function in 1904 which maps quadratic irrational numbers to rational numbers and this function is… Expand

2015

2015

Minkowski's question mark function is strictly increasing on $[0, 1]$ and hence defines a Stieltjes measure on $[0, 1]$. A… Expand

2010

2010

In this paper we investigate the Fourier-Stieltjes coefficients of the Minkowski question mark function. In 1943, R. Salem asked… Expand

2010

2010

The Minkowski question mark function ?( x ) arises as a real distribution of rationals in the Farey tree. We examine the… Expand

2010

2010

Previously, several natural integral transforms of the Minkowski question mark function F(x) were introduced by the author. Each… Expand

2009

2009

Abstract We get necessary and sufficient conditions for the derivative of the Minkowski question mark function ? ( x ) to be… Expand

2008

2008

The Minkowski question mark function F(x) arises as a real distribution function of rationals in the Farey (alias, Stern-Brocot… Expand

2007

2007

Let x = [0; a1, a2, …] be the regular continued fraction expansion of an irrational number x ∈ [0, 1]. For the derivative of the… Expand