摘要
For any given coprime integers p and q greater than 1, in 1959, B proved that all sufficiently large integers can be expressed as a sum of pairwise terms of the form p^aq^b. As Davenport observed, Birch＇s proof can be modified that the exponent b can be bounded in terms of p and q. In 2000, N. Hegyvari effective version of this bound. The author improves this bound.
基金
Project supported by the National Natural Science Foundation of China (Nos. 10771103, 11071121)
