Geodesic
On Sums of Products in~$\mathbb F_p\times \mathbb F_p$
Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 262-279

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The problem of sums of products in $\mathbb F_p\times \mathbb F_p$ is considered. An estimate for sums of products improving Bourgain's result of 2005 is obtained. This estimate is applied to the problem of estimating polynomial exponential sums over multiplicative subgroups in $\mathbb F_p^*$.
Keywords: sums of products. 
@article{MZM_2019_106_2_a8,
     author = {S. N. Popova},
     title = {On {Sums} of {Products} in~$\mathbb F_p\times \mathbb F_p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {262--279},
     publisher = {mathdoc},
     volume = {106},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a8/}
}
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S. N. Popova. On Sums of Products in~$\mathbb F_p\times \mathbb F_p$. Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 262-279. http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a8/