Geodesic
On the distribution of integral points on the three-dimensional sphere
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 224-226 
M. D. Monina. On the distribution of integral points on the three-dimensional sphere. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 224-226. http://geodesic.mathdoc.fr/item/DVMG_2020_20_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The result of V.A. Bykovsky and M.D. Monina on the distribution of integer points on the three-dimensional sphere $ a_1^2 + a_2^2 + a_3^2 + a_4^2 = d $ with odd $d$ is extended to the case of even $d.$

[1] V. A. Bykovskii, M. D. Monina, “Trace Formula for Integral Points on the Three-Dimensional Sphere”, Doklady Mathematics, 101 (2020), 9–11 | DOI | MR

[2] V. A. Bykovsky, “Hecke series values of holomorphic cusp forms in the center of the critical strip”, Number Theory in Progress, v. 2, Elementary and Analytic Number Theory, eds. Ed. by K. Gyory, H. Iwaniec, and J. Urbanowicz, Walter de Gruyter, Berlin, 1999, 675–690 | MR

[3] Kh. Ivanets, E. Kovalskii, Analiticheskaya teoriya chisel, MTsNMO, M., 2014, 712 pp.