Geodesic
On the generalized Hua problem
Izvestiya. Mathematics , Tome 59 (1995) no. 6, pp. 1149-1171

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IM2_1995_59_6_a2,
     author = {A. Zrein},
     title = {On the generalized {Hua} problem},
     journal = {Izvestiya. Mathematics },
     pages = {1149--1171},
     publisher = {mathdoc},
     volume = {59},
     number = {6},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_59_6_a2/}
}
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A. Zrein. On the generalized Hua problem. Izvestiya. Mathematics , Tome 59 (1995) no. 6, pp. 1149-1171. http://geodesic.mathdoc.fr/item/IM2_1995_59_6_a2/