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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 2, Pages 224–226
DOI: https://doi.org/10.47910/FEMJ202022 (Mi dvmg435) 		 
On the distribution of integral points on the three-dimensional sphere

M. D. Monina

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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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 $d.$
Key words: integral points on a sphere, modular functions, Hecke series.
Received: 28.10.2020
Document Type: Article
UDC: 511.334+511.335
MSC: 11F11
Language: Russian
Citation: M. D. Monina, “On the distribution of integral points on the three-dimensional sphere”, Dal'nevost. Mat. Zh., 20:2 (2020), 224–226
Citation in format AMSBIB
\Bibitem{Mon20}
\by M.~D.~Monina
\paper On the distribution of integral points on the three-dimensional sphere
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 2
\pages 224--226
\mathnet{http://mi.mathnet.ru/dvmg435}
\crossref{https://doi.org/10.47910/FEMJ202022}
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