On the generalized Hua problem
Izvestiya. Mathematics, Tome 59 (1995) no. 6, pp. 1149-1171
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We determine the precise value of the exponent of convergence of the improper integral $$ \gamma_1=\int _{\mathbb R^r}\biggl|\int_0^1e^{2\pi if(x)}\,dx\biggr|\,d\alpha_1\dots d\alpha_r, $$ where $f(x)=\alpha_1x^{C_1}+\dots+\alpha_rx^{C_r}$, $0$ are arbitrary real numbers.
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