摘要
We consider exceptional sets in the Waring-Goldbach problem for fifth powers.For example,we prove that all but O(N^(131/132))integers satisfying the necessary local conditions can be represented as the sum of 11 fifth powers of primes,which improves the previous results due to A.V.Kumchev[Canad.J.Math.,2005,57:298–327]and Z.X.Liu[Int.J.Number Theory,2012,8:1247–1256].
基金
The first author was supported by the Scientific Research Project of the Education Department of Fujian Province(Grant No.JAT190370)
the Natural Science Foundation of Fujian Province(Grant No.2020J05162)
The second author was supported by the National Natural Science Foundation of China(Grant No.11871367)
the Natural Science Foundation of Tianjin City(Grant No.19JCQNJC14200).
