Abstract
In this paper, it is proved that with at most $O(N^{17/42+\varepsilon})$ exceptions, all even positive integer $n$, $n \in [N/2,N]$, can be represented in the form $p_{1}^{2} + p_{2}^{2} + p_{3}^{3} + p_{4}^{3} + p_{5}^{4} + p_{6}^{4}$, where $p_{1}$, $p_{2}$, $p_{3}$, $p_{4}$, $p_{5}$, $p_{6}$ are prime numbers. This improves a recent result $O(N^{13/16+\varepsilon})$ due to Zhang and Li [13].
Citation
Xiaodong Zhao. "Exceptional Set of Waring-Goldbach Problem with Unequal Powers of Primes." Taiwanese J. Math. 24 (4) 817 - 824, August, 2020. https://doi.org/10.11650/tjm/191001
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