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| Waring-Goldbach Problem: One Square and Nine Biquadrates |
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Citation： |
Xiaodong Lv,Yingchun CAI.Waring-Goldbach Problem: One Square and Nine Biquadrates[J].Chinese Annals of Mathematics B,2019,40(2):273~284 |
| Page view： 2163
Net amount： 1672 |
Authors： |
Xiaodong Lv; Yingchun CAI |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11771333). |
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| Abstract： |
In this paper it is proved that every sufficiently large even
integer $N$ satisfying one of the congruence conditions $N\equiv10,
58,130, \mbox{or}\ 178 \ ({\rm mod}\,240)$ may be represented as the
sum of one square and nine fourth powers of prime numbers. |
Keywords： |
Waring-Goldbach problem, Hardy-Littlewood method |
Classification： |
11P32, 11N36 |
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