FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the distribution of integral points on the three-dimensional sphere |
Monina M.D. |
2020, issue 2, P. 224–226 DOI: https://doi.org/10.47910/FEMJ202022 |
Abstract |
| 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 $d$. |
Keywords: integral points on a sphere, modular functions, Hecke series |
Download the article (PDF-file) |
References |
| [1] V. A. Bykovskii, M. D. Monina, “Trace Formula for Integral Points on the Three-Dimensional Sphere”, Doklady Mathematics, 101, (2020), 9–11 doi https://doi.org/10.1134/S1064562420010044. [2] V. A. Bykovsky, Hecke series values of holomorphic cusp forms in the center of the critical strip, Number Theory in Progress. 2: Elementary and Analytic Number Theory, Walter de Gruyter, Berlin, 1999, 15 pp. [3] Kh. Ivanets, E. Koval'skii, Analiticheskaia teoriia chisel, MTsNMO, M., 2014, 712 s. |