Waring-Goldbach Problem: One Square and Nine Biquadrates

Citation:

Xiaodong Lv,Yingchun CAI.Waring-Goldbach Problem: One Square and Nine Biquadrates[J].Chinese Annals of Mathematics B,2019,40(2):273~284
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Authors:

Xiaodong Lv; Yingchun CAI

Foundation:

This work was supported by the National Natural Science Foundation of China (No.11771333).
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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