Geodesic
Salem's problem for the inverse Minkowski $?(t)$ function
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 29, Tome 429 (2014), pp. 11-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $d_n$ be the coefficient Fourier–Stieltjes of the Minkowski $?(t)$ function – $$ d_n=\int^1_0\cos2\pi nt\,d?(t). $$ Salem's problem is as to whether $d_n$ tends to zero as $n\to\infty$. In the paper the coefficient Fourier $$ \alpha_n=\int^1_0\cos(2\pi n?(t))\,dt $$ is considered. It is proved that $\alpha_n$ does not tend to zero as $n\to\infty$. 
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     author = {E. P. Golubeva},
     title = {Salem's problem for the inverse {Minkowski} $?(t)$ function},
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E. P. Golubeva. Salem's problem for the inverse Minkowski $?(t)$ function. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 29, Tome 429 (2014), pp. 11-19. http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a1/

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