Geodesic
Estimate of a~multidimensional sum with the Legendre symbol for a~polynomial of odd degree
Matematičeskie zametki, Tome 20 (1976) no. 6, pp. 815-824.

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The estimate $$ \Bigl|\sum_{x,1\dots,x_n\in F_q}\chi(f(x_1,\dots,x_n))\Bigr|\le(d-1)^nq^{n/2}. $$ is derived for the quadratic character Lambda of a field $F_q$ of $q$ elements and a polynomial $f$ of odd degree $d$ over $F_q$ under certain natural conditions. 
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     author = {G. I. Perel'muter},
     title = {Estimate of a~multidimensional sum with the {Legendre} symbol for a~polynomial of odd degree},
     journal = {Matemati\v{c}eskie zametki},
     pages = {815--824},
     publisher = {mathdoc},
     volume = {20},
     number = {6},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_6_a2/}
}
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G. I. Perel'muter. Estimate of a~multidimensional sum with the Legendre symbol for a~polynomial of odd degree. Matematičeskie zametki, Tome 20 (1976) no. 6, pp. 815-824. http://geodesic.mathdoc.fr/item/MZM_1976_20_6_a2/