544 citations
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Showing 2009Show all
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math.NT2009★ 4 cited
Semi-regular continued fractions and an exact formula for the moments of the Minkowski question mark function
Giedrius Alkauskas
This paper continues investigations on the integral transforms of the Minkowski question mark function. In this work we finally establish the long-sought formula for the moments, w…
math.CA2009★ 4 cited
Multi-variable translation equation which arises from homothety
Giedrius Alkauskas
In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f…