Geodesic
On the distribution of the sequence $\{bp^{3/2}\}\mod1$
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 31-39

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Using the method of I. M. Vinogradov, the authors derive an asymptotic formula connected with distribution of fractional parts $\{bp^{3/2}\}$, $p\le N$, $N\to\infty$, where $b>0$ and $p$ runs through all prime numbers. 
@article{ZNSL_1979_91_a2,
     author = {E. P. Golubeva and O. M. Fomenko},
     title = {On the distribution of the sequence $\{bp^{3/2}\}\mod1$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {31--39},
     publisher = {mathdoc},
     volume = {91},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a2/}
}
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E. P. Golubeva; O. M. Fomenko. On the distribution of the sequence $\{bp^{3/2}\}\mod1$. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 31-39. http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a2/