http://dspace.bsu.edu.ru/handle/123456789/1986| Title: | Representation of natural numbers by sums of four squares of integers having a special form |
| Authors: | Gritsenko, S. A. Mot’kina, N. N. |
| Keywords: | science mathematics number theory Diophantine equations natural numbers asymptotic formula |
| Issue Date: | 2011 |
| Citation: | Gritsenko, S.A. Representation of natural numbers by sums of four squares of integers having a special form / S.A. Gritsenko, N.N. Mot’kina ; NRU BSU // Journal of Mathematical Sciences. - 2011. - Vol.173, №2.-P. 194-200. - doi: 10.1007/s10958-011-0241-x |
| Abstract: | This paper obtains an asymptotic formula for the number of solutions to the equation l2 1 + l2 2 + l2 3 + l2 4 = N in integers l1, l2, l3, l4 such that a < {ѓЕlj} < b, where ѓЕ is a quadratic irrational number, 0 . a < b . 1, j = 1, 2, 3, 4 |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/1986 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Gritsenko S.A._Representation.pdf | 116.46 kB | Adobe PDF | View/Open |
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