Geodesic
The number of integer points under a~parabola
Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 699-704.

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

The remainder term for the number of integer points under the parabola in the region $0$, $0$ admits a bound $O(a^{1/2+c\ln\ln a})$ with the unimprovable exponent 1/2. 
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     author = {V. N. Popov},
     title = {The number of integer points under a~parabola},
     journal = {Matemati\v{c}eskie zametki},
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     number = {5},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a5/}
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V. N. Popov. The number of integer points under a~parabola. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 699-704. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a5/