Fractional parts of functions of a~special form
Izvestiya. Mathematics , Tome 59 (1995) no. 4, pp. 721-740

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This paper contains proofs of theorems on the distribution of fractional parts of functions connected with inverse values modulo a given number.
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     author = {A. A. Karatsuba},
     title = {Fractional parts of functions of a~special form},
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     number = {4},
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A. A. Karatsuba. Fractional parts of functions of a~special form. Izvestiya. Mathematics , Tome 59 (1995) no. 4, pp. 721-740. http://geodesic.mathdoc.fr/item/IM2_1995_59_4_a3/